G[z_, w_] := (w^(-z))*Gamma[z, w]

Q := ((Conductor^((1/2)))/(2*π))

Λ[
        s_] := (∑_(n = 1)^100)(an[[n]]*
              G[s, (n/Q)]) + (∑_(n = 1)^100)(an[[n]]*
              G[1 - s, (n/Q)])

Questions:  What is ω ?  It's the sign in functional eqn. -1.
      How far into the a_n's do we need to go?
      
      
  Below is the first 500 an for [0,-1,1,-10,-20]
  This curve has conductor 11.

an := {1, -2, -1, 2, 1, 2, -2, 0, -2, -2, 
        1, -2, 4, 4, -1, -4, -2, 4, 0, 2, 2, -2, -1, 
        0, -4, -8, 5, -4, 0, 2, 7, 8, -1, 4, -2, -4, 
        3, 0, -4, 0, -8, -4, -6, 2, -2, 2, 8, 4, -3, 
        8, 2, 8, -6, -10, 1, 0, 0, 0, 5, -2, 12, -14, 
        4, -8, 4, 2, -7, -4, 1, 4, -3, 0, 4, -6, 4, 
        0, -2, 8, -10, -4, 1, 16, -6, 4, -2, 12, 0, 0, 
        15, 4, -8, -2, -7, -16, 0, -8, -7, 
        6, -2, -8, 2, -4, -16, 0, 2, 12, 18, 10, 
        10, -2, -3, 8, 9, 0, -1, 0, -8, -10, 4, 0, 
        1, -24, 8, 14, -9, -8, 8, 0, 6, -8, -18, -2, 
        0, 14, 5, 0, -7, -2, 10, -4, -8, 6, 4, 8, 0, -8, 
        3, 6, -10, -8, 2, 0, 4, 4, 7, -8, -7, 20, 6, 8, 
        2, -2, 4, -16, -1, 12, -12, 0, 3, 4, 
        0, -12, -6, 0, 8, -4, -5, -30, -15, -4, 
        7, 16, -12, 0, 3, 14, -2, 16, -10, 0, 17, 8, 4, 
        14, -4, -6, -2, 4, 0, 0, 7, -4, 0, 4, -8, 32, 
        2, -16, 0, -4, 12, -12, 3, -36, -6, 
        0, -14, -20, -4, 2, -8, 6, 19, -16, 8, -18, 
        18, 0, 15, 2, 2, 0, 24, 16, 8, 10, 10, -8, -30, 
        4, -8, -2, -16, 24, -3, -16, 0, 0, 6, 
        18, -23, 8, -1, -16, 2, 16, -2, -12, -6, 8, 
        0, 36, 14, 0, -6, 0, -15, -14, 10, -10, -28, 8, 
        8, 14, -4, 2, -2, -20, -14, 0, -18, 16, 
        4, -6, 0, -8, 16, -16, -13, 0, 7, 8, 24, -6, 5, 
        0, 5, 20, -4, 8, 12, -4, -2, 0, 12, -8, 8, -4, 
        16, -14, 12, 0, -1, 14, 4, -20, 13, -12, 
        0, -8, -18, -4, 0, 2, -16, -8, -10, 
        0, -16, 2, 7, -12, -6, 
        24, -7, -8, -22, -6, -9, -4, 7, 0, 20, 0, 1, 
        12, 28, 0, 30, -16, 20, 8, -21, 10, -3, 30, -4, 
        30, -20, 0, -19, -14, -1, -16, 4, 24, -17, 4, 
        16, -6, 12, -14, -26, 4, 9, 0, 0, 20, -5, 
        0, -8, -34, -1, 0, -2, -8, 12, -14, -15, 
        8, 2, 0, 18, 4, -10, -4, -2, 0, 0, 16, 2, -14, 28, 4, 
        1, 0, 3, 0, -30, 16, 7, -32, -10, -4, -6, 
        32, -10, 0, 20, 4, 22, -24, -16, 0, 8, -6, -24, 
        36, -4, 12, -18, -20, -11, 28, 0, 20, 0, 8, 40, 0, 6, 
        16, -11, -6, 15, -38, 10, 16, 35, -16, -8, 
        18, -2, -36, -8, 0, -12, -30, -10, -2, 
        12, -4, -11, 0, -7, -48, -27, -16, 
        14, -16, 7, 0, -6, -20, 0, 8, 12, 60, 20, -8, 12, 
        16, -2, 2, -7, 32, 23, 0, -4, 6, -8, 16, 0, 
        0, -2, -28, 6, -12, 20, -18}

Conductor  =  11

Q

Λ[
        s_] := (∑_(n = 1)^500)(an[[n]]*
              G[s, (n/Q)]) + (∑_(n = 1)^500)(an[[n]]*
              G[1 - s, (n/Q)])

Now, Λ[s] should give us something close to the correct value.
Recal that Λ[s] = (N^(x/2))(((2  π))^(-s))Γ[s] L[s]

The below value is for using 500 a_n's

Λ[2] // N

hmmmm...PARI gives a value of 0.1521471417259180494862272975
perhaps it is a convergance thing.

Let's try an inordinate number of an's just for kicks.  Below is the first 5000

an := {1, -2, -1, 2, 1, 2, -2, 0, -2, -2, 
        1, -2, 4, 4, -1, -4, -2, 4, 0, 2, 2, -2, -1, 
        0, -4, -8, 5, -4, 0, 2, 7, 8, -1, 4, -2, -4, 
        3, 0, -4, 0, -8, -4, -6, 2, -2, 2, 8, 4, -3, 
        8, 2, 8, -6, -10, 1, 0, 0, 0, 5, -2, 12, -14, 
        4, -8, 4, 2, -7, -4, 1, 4, -3, 0, 4, -6, 4, 
        0, -2, 8, -10, -4, 1, 16, -6, 4, -2, 12, 0, 0, 
        15, 4, -8, -2, -7, -16, 0, -8, -7, 
        6, -2, -8, 2, -4, -16, 0, 2, 12, 18, 10, 
        10, -2, -3, 8, 9, 0, -1, 0, -8, -10, 4, 0, 
        1, -24, 8, 14, -9, -8, 8, 0, 6, -8, -18, -2, 
        0, 14, 5, 0, -7, -2, 10, -4, -8, 6, 4, 8, 0, -8, 
        3, 6, -10, -8, 2, 0, 4, 4, 7, -8, -7, 20, 6, 8, 
        2, -2, 4, -16, -1, 12, -12, 0, 3, 4, 
        0, -12, -6, 0, 8, -4, -5, -30, -15, -4, 
        7, 16, -12, 0, 3, 14, -2, 16, -10, 0, 17, 8, 4, 
        14, -4, -6, -2, 4, 0, 0, 7, -4, 0, 4, -8, 32, 
        2, -16, 0, -4, 12, -12, 3, -36, -6, 
        0, -14, -20, -4, 2, -8, 6, 19, -16, 8, -18, 
        18, 0, 15, 2, 2, 0, 24, 16, 8, 10, 10, -8, -30, 
        4, -8, -2, -16, 24, -3, -16, 0, 0, 6, 
        18, -23, 8, -1, -16, 2, 16, -2, -12, -6, 8, 
        0, 36, 14, 0, -6, 0, -15, -14, 10, -10, -28, 8, 
        8, 14, -4, 2, -2, -20, -14, 0, -18, 16, 
        4, -6, 0, -8, 16, -16, -13, 0, 7, 8, 24, -6, 5, 
        0, 5, 20, -4, 8, 12, -4, -2, 0, 12, -8, 8, -4, 
        16, -14, 12, 0, -1, 14, 4, -20, 13, -12, 
        0, -8, -18, -4, 0, 2, -16, -8, -10, 
        0, -16, 2, 7, -12, -6, 
        24, -7, -8, -22, -6, -9, -4, 7, 0, 20, 0, 1, 
        12, 28, 0, 30, -16, 20, 8, -21, 10, -3, 30, -4, 
        30, -20, 0, -19, -14, -1, -16, 4, 24, -17, 4, 
        16, -6, 12, -14, -26, 4, 9, 0, 0, 20, -5, 
        0, -8, -34, -1, 0, -2, -8, 12, -14, -15, 
        8, 2, 0, 18, 4, -10, -4, -2, 0, 0, 16, 2, -14, 28, 4, 
        1, 0, 3, 0, -30, 16, 7, -32, -10, -4, -6, 
        32, -10, 0, 20, 4, 22, -24, -16, 0, 8, -6, -24, 
        36, -4, 12, -18, -20, -11, 28, 0, 20, 0, 8, 40, 0, 6, 
        16, -11, -6, 15, -38, 10, 16, 35, -16, -8, 
        18, -2, -36, -8, 0, -12, -30, -10, -2, 
        12, -4, -11, 0, -7, -48, -27, -16, 
        14, -16, 7, 0, -6, -20, 0, 8, 12, 60, 20, -8, 12, 
        16, -2, 2, -7, 32, 23, 0, -4, 6, -8, 16, 0, 
        0, -2, -28, 6, -12, 20, -18, 12, 46, -26, 0, 2, 
        2, -3, 16, 15, -4, -8, -32, 0, 4, -16, 12, 8, 12, 
        6, 0, -3, 0, -16, -36, -8, -28, -14, 
        4, -22, 12, -10, 0, -32, 30, 18, 0, 15, -20, -3, 
        10, -8, 56, -7, -16, 10, -16, 8, -14, -24, 8, 
        0, 0, 20, 4, -3, 20, -2, 28, -24, 8, 2, 36, 4, -16, 
        9, -8, -2, 0, 0, 0, -28, 8, -17, -32, 4, 16, 33, 
        26, -4, 0, 12, -14, -6, 0, -8, -48, 28, 6, 
        0, -10, 2, -12, 44, -10, 4, -20, 0, 8, 40, 0, 
        2, -24, 14, 4, 1, 4, -22, 0, 0, -24, 32, 
        8, -16, -16, 8, 0, 18, -32, -25, 
        14, -5, -24, -30, 16, 11, 2, 0, -14, -6, -8, 
        7, 0, -12, -26, 8, 12, -12, 0, 6, 0, -33, 36, 29, 4, 
        6, 0, -7, 0, 5, 32, 14, 8, -41, 20, -18, 32, -8, 32, 
        10, -2, 37, -14, 8, 0, 0, 12, 0, -24, -19, 14, 12, 
        16, 14, 44, -20, 6, -42, 18, 14, 
        0, -18, -14, -16, 0, -7, -40, -15, 
        24, -24, -2, 17, -12, 4, -56, 10, 0, 
        16, -60, -24, 16, 2, -40, 0, -8, -8, 
        42, -4, -10, -25, 6, 20, 0, -7, 8, 4, -30, 30, 
        40, 15, 8, 32, 38, 8, 14, 0, 2, 3, 0, 13, -8, 
        12, -24, -36, 34, 3, -8, -7, -32, 50, 6, 
        0, -24, 4, 0, -10, 52, 
        12, -4, -36, -18, -23, -32, 23, 0, 
        2, -20, -22, 10, 1, 0, 12, 16, -20, 34, 4, 2, 
        20, -16, 20, 4, 2, 8, -6, -24, -28, 0, 6, 30, 
        0, -8, -3, -4, 0, 
        12, -7, -36, -32, -4, -14, 20, -18, 0, 48, 4, 
        6, 0, 53, 0, -16, -32, -30, -4, 4, 14, 
        2, -56, -10, 0, 0, -2, -38, 0, 28, -6, 4, -8, 
        0, 60, 16, -16, 22, -14, 39, 0, 4, 20, -52, 4, 25, 12, 
        2, -32, 6, 20, -12, 0, 35, -40, -5, 
        0, -29, -44, 18, 24, 3, 32, -2, 
        24, -4, -16, -3, 6, 14, 48, 0, 0, 8, 
        8, -15, -12, -16, 36, 24, 40, -6, 22, 
        13, -28, -10, 0, -28, 0, 14, 0, 
        18, -8, -12, -80, -24, -4, -43, -12, 
        4, -16, -5, 22, -22, 0, -16, -30, 1, 38, 
        0, -20, -15, 0, 4, -70, 0, 16, 12, 16, -12, 0, 7, 
        4, -12, 36, -4, 16, 12, 0, -6, 24, -12, 30, 36, 20, 
        10, 0, -8, -24, -12, 4, -12, 22, 32, 0, -30, 14, 
        0, 48, -12, 54, -2, 0, 8, -28, 1, 16, 42, -14, 
        8, -20, -10, 12, -27, 20, 16, 0, -13, 0, 34, -24, 
        17, -60, 0, -40, 14, 8, 18, -24, -36, -16, 4, 
        4, -32, 0, 0, 14, 47, -32, -20, -46, 
        16, -48, -27, 8, 15, -6, -20, 16, 39, 0, -2, 0, 
        16, 0, 6, 4, -8, 56, -7, -12, 0, 12, 38, -40, 15, 
        0, -8, -24, -10, -46, 7, 52, 
        0, -16, -10, -4, 22, -2, 39, 6, 0, 
        0, -18, -30, -10, 4, 22, 16, -7, 32, 32, 
        0, -40, -4, -20, 32, 32, 0, -16, -16, 
        2, -12, -24, -12, 5, -16, -28, 6, 20, 0, 0, 
        32, -30, 0, -55, 16, 2, 28, 4, 28, 12, -8, -4, 44, 
        21, -12, -13, 20, 44, 0, 3, 
        64, -7, -30, -20, -36, -8, 28, 0, -30, 24, 
        20, 20, 6, -24, 0, -8, 16, 19, -56, -14, 14, 8, 
        16, -2, -20, -58, 16, -51, -16, -4, 
        0, -42, 48, 14, -8, 17, 
        0, -51, -4, -8, -40, -40, -4, -30, 6, 2, 
        0, -12, 4, 19, -28, 48, 48, 26, -16, 0, -4, 
        24, -36, 18, -8, 3, 0, 50, -18, 0, 8, -16, 4, 18, 12, 
        5, 0, 14, 0, -8, 56, -16, 0, 15, 34, 21, 32, 1, -8, 2, 
        0, -31, -66, 2, -26, 60, 8, 0, 0, -30, -24, 34, 
        14, 24, 12, 15, -16, 24, 16, -3, 
        48, -2, -56, -32, 0, 18, 0, 36, 
        10, -18, -4, -6, 24, 10, -88, -12, 10, 0, -8, 
        2, 0, -21, 0, -30, -8, 0, -80, 10, -16, 
        2, -4, -2, 24, -8, -28, 6, 0, -28, -2, 
        12, -4, -41, 44, -16, 0, -42, 0, 6, 
        24, -3, -64, 14, 0, 12, 32, 30, 16, 60, -16, -18, 8, 
        14, -36, 0, 32, 18, 50, 10, 0, -8, 10, 9, 24, 6, 60, 
        0, -32, 40, -22, -20, -2, 30, 0, -23, 0, -20, 
        12, -25, 8, -28, -14, -22, 40, -1, 24, -14, 
        26, 40, -16, -56, 0, 0, 24, -8, 
        0, -47, -12, -15, 16, 24, 
        66, -36, -36, -2, -58, -8, 0, 0, -12, -8, 
        0, 18, 14, -6, -4, 48, -10, 11, -32, 27, -28, 39, 
        0, 0, 82, 28, -20, 4, 36, 0, -64, 8, 16, 
        14, -32, -40, -20, -30, 0, 47, -74, -15, 14, 
        24, -16, 68, 24, 11, 0, 1, -12, -42, 0, -15, 
        0, -34, 38, -64, -14, 20, -24, 20, -16, 
        10, -28, -35, -44, 0, 40, -8, 0, 8, 
        84, -28, -18, -5, -28, -4, 8, 12, 36, 0, 14, 8, 
        32, -72, 0, -28, 14, 12, 40, 39, 30, -9, -48, -2, 
        48, 4, 2, -68, -34, -12, 0, -2, -8, 0, 56, 
        11, -20, 72, 0, 0, -32, -14, 60, 8, 48, 60, 0, 
        27, -4, -12, 40, -18, 0, -14, 0, -15, 16, 
        12, -42, 14, 8, 4, 0, 40, 50, 6, -6, 0, -40, 29, -60, 
        0, 14, -12, -8, -70, -8, -30, 0, 54, -60, 
        16, -40, -20, -30, 
        0, -16, -18, -64, -12, -38, -13, -16, 28, 
        0, -4, 0, 52, -2, -71, -6, 7, 32, 
        56, -26, -20, 8, -23, -24, 0, 0, 24, 
        72, -8, -34, 36, -6, 22, 8, 8, 14, -20, 
        32, -24, -100, 0, 0, 32, 0, 49, 24, 5, -8, 58, 
        28, -15, 20, -6, -52, -36, -24, -4, 
        0, -20, 72, 55, 18, 0, 46, 24, 64, 12, -46, -7, 0, 
        26, -4, 37, 0, -30, 
        44, -2, -10, -24, -2, -21, 
        0, -6, -24, -41, -16, -48, 40, -15, 0, 
        10, -8, 32, -2, 8, -40, 8, 32, 0, -40, 0, -4, 
        7, -4, -36, 0, 16, 12, 16, 24, -15, 56, -8, 
        28, -56, -12, 12, -30, 12, 0, -60, 0, -38, 6, 3, 
        4, -1, 0, -52, -24, 16, 14, -28, 36, 4, 64, -16, 
        0, 0, 28, -30, -20, 14, 36, 34, 8, 13, -96, 
        22, -4, -36, -12, -18, 0, 25, -106, 0, 
        0, -32, 32, 32, 32, 2, 60, -30, 4, -18, -8, 33, 
        0, -10, -4, 30, 56, -6, 20, 0, -8, 3, 0, -20, 2, 
        22, 76, 8, 0, -36, -56, 78, 6, -14, -8, -48, 16, 
        3, 0, -10, -60, 33, -32, -10, 
        0, -8, -44, -42, 14, -16, -78, 60, 64, 
        14, -8, 32, -20, 0, 104, 7, 
        0, -2, -50, -20, -12, 2, -4, 4, 
        0, -6, -12, 48, -20, 50, 24, 2, 0, 60, -70, 28, 40, 
        24, 10, -4, -8, 23, 58, 4, 44, -22, -36, 16, 
        0, -4, -6, 0, -32, -6, 4, -9, -48, -42, 
        8, 40, 16, 32, 6, -72, 0, 7, -28, 0, -48, -45, 0, 
        0, -72, 28, -16, 20, -8, -4, 30, -34, 0, -3, 
        32, -46, -36, -4, -48, -7, -40, 0, 
        12, -33, -22, -6, -26, 28, 0, -8, 20, 24, 0, 17, 
        56, -12, -40, 30, -28, -57, 0, 6, -36, 32, 0, 34, 
        24, 20, 80, 46, 48, -40, 8, -28, 86, 48, 12, -21, -8, 
        0, 0, 0, 10, 2, -22, 4, 44, 12, 12, 8, 32, -44, 
        30, -28, -2, 59, 0, -4, 0, -57, 20, 10, 30, 
        0, -32, 4, -8, -20, 70, -40, 0, 4, 0, 
        52, -24, -2, -16, -19, 24, 
        40, -36, -35, -14, 12, -4, -9, 24, -1, 0, 10, 
        8, -36, -16, 22, -24, -56, 0, -16, 12, 
        0, -24, 35, 24, -43, 
        0, -32, -72, -17, -20, -12, -20, 16, 
        4, -28, 16, 0, 24, 16, 24, -52, 0, -7, 
        24, -18, -22, -20, -64, 12, 0, 25, 60, 3, -14, 
        62, 0, -1, 0, -26, 24, 28, -54, 30, 4, -3, 
        32, -6, -16, -11, 28, 18, -2, -35, 0, 
        0, -84, -20, 14, 0, -16, 6, 40, 70, 20, 
        84, -12, -7, 54, -5, 0, 56, -32, -24, 0, 77, 
        26, -6, -16, -8, -68, -52, 24, 6, -34, 12, 
        0, -36, 0, -1, 40, -15, -28, 0, 0, -18, -36, 
        33, 24, 8, 72, -64, 0, -29, -8, -18, -4, 54, 64, 
        12, -4, -40, 0, 4, -14, 7, -94, 0, 0, -15, 
        40, -5, 46, -40, -32, -23, 96, 28, 54, 2, -8, 
        0, -30, 41, 0, -18, 40, 8, -16, 18, -78, 
        36, -32, -15, 4, 20, 0, 79, -32, 40, 0, -10, -12, 
        30, -4, -8, 16, -37, -56, -2, 14, -22, 12, 
        16, 0, 7, 0, -66, -76, 0, 40, -72, -30, -20, 36, 
        0, 16, 4, 24, 2, 20, -38, 0, 
        24, -14, -13, -52, -12, 0, 28, 32, -17, 
        20, -14, 4, -48, -44, 26, 0, -4, -78, 63, -6, 
        45, 0, 42, -32, 0, 36, 3, 30, -14, 20, 60, 
        0, -28, -44, -36, -16, -30, 14, -15, 0, 
        16, -64, -48, 0, 84, 80, 7, 0, -2, 40, 
        0, -32, -30, -64, 24, -24, -10, 32, 24, 16, 
        70, -4, 0, 0, -17, 48, 24, 12, -49, -10, -10, 
        32, -18, 56, 89, -6, -10, -40, 48, 0, -10, 
        0, -16, -32, 8, 60, 20, 72, -48, 110, 35, -16, 
        17, -4, -2, 0, 22, -8, 18, -28, 0, -24, -38, 
        8, -86, 8, -16, -44, 0, -42, 16, 0, 4, 26, 
        4, -20, 18, -88, 25, 0, 
        20, -6, -68, -64, -50, 14, -24, 0, 73, 40, 7, 
        36, -58, 16, -91, -56, -4, 0, 0, 
        30, -16, -48, 60, 
        0, -26, -40, -18, -6, -15, 
        48, -16, -20, -13, 
        16, -32, -16, -11, -38, -2, 0, 16, 
        28, -48, -14, 48, -16, 0, 0, -24, 4, -45, 
        20, -3, 116, 15, 0, 0, 102, 35, 16, 0, 8, 2, 28, -12, 84, 
        40, -48, -40, -28, 36, 0, -21, -34, -1, 0, 6, 
        102, 48, 8, 17, 16, 7, 40, 4, 80, -11, 0, -50, 
        60, -26, -6, 22, -4, 0, -40, -60, 24, 
        36, -4, -4, -38, 7, 0, 0, -96, 10, -48, 
        78, -52, -70, 16, -30, 0, -56, 4, 35, -48, 36, 
        0, -24, -36, -48, 8, 23, -6, -8, 32, 
        36, -100, 46, 18, 0, 0, 28, 0, -2, 32, 93, -4, 
        25, -36, 22, -24, 4, -10, 32, 0, 2, -28, 36, 0, 7, 
        16, -12, -56, -12, 32, 38, -16, 20, -30, 
        0, -34, 29, -42, -10, 0, -57, -2, 0, 
        8, -20, -4, -24, -32, 12, 62, -20, 66, 
        60, -4, -13, 0, 4, -120, -11, -8, -14, 0, 6, 
        0, 12, 60, -2, 24, 28, -68, -60, 0, 14, -48, 
        12, -12, 59, -30, -27, 32, 0, -48, 10, -16, 67, 
        6, 3, 0, 14, 4, -37, 56, 0, 64, -48, -12, 28, -36, 7, 
        0, -57, -72, 44, 0, 32, 36, -20, 4, -6, 
        12, -28, -24, 16, -20, -28, 88, 18, 24, 0, 0, 3, 
        0, -48, 8, -18, -4, -36, 40, 12, 42, -14, 
        0, -50, 60, -53, 0, 54, 0, 20, 80, 16, -20, -75, 
        32, -19, -4, 75, 4, 12, 4, 0, 0, -4, 16, 62, 28, 
        0, -12, -2, -8, -22, 56, -40, 
        2, -20, -24, -31, 0, 28, 82, 0, -44, -56, 
        32, -8, 0, 38, 84, 23, 0, -82, -12, 56, 0, 42, 
        6, -60, 64, -4, -28, 3, -16, -70, -24, 
        0, -32, 19, -60, -8, 0, -40, -120, -50, 
        16, -18, 36, -22, -16, 0, -28, 3, 36, -39, 0, 42, 
        0, -11, -36, 8, -50, 48, -20, -21, -28, 52, 
        16, 68, -10, 6, -18, -25, 0, 
        0, -12, -48, -60, 4, 0, 20, 32, 18, -80, -6, 
        22, -96, 40, 14, 0, 12, -60, -10, 0, 16, 46, 7, 28, 40, 
        40, -26, -12, 5, 50, 15, 0, 72, 56, 29, 14, -8, 44, 
        38, -80, 36, 2, 57, -24, 20, 28, -3, 0, -30, -80, 
        0, 16, 2, 112, 34, -24, 15, 0, -8, -24, -20, 
        16, -98, 0, 3, 94, -8, 12, 13, 
        30, -14, -32, -8, -48, 24, -66, 0, 72, -4, 0, 
        34, 4, -8, 58, -42, 16, 64, -8, 15, 0, 20, 12, 0, 
        16, -32, 0, 8, -36, 0, -14, -24, 12, -58, 8, 
        14, -96, 6, 10, 18, -22, -9, 0, 26, -54, 0, 
        28, -3, -78, 10, -16, -30, 0, 52, -82, 
        28, -56, -16, 0, 18, -8, -35, -36, 22, 
        0, -72, 64, -18, -16, -9, -16, -30, -28, 
        12, 0, 39, 80, -14, 20, -48, 60, 0, 4, 0, -94, 43, 
        74, -22, 30, 38, 0, -4, -48, -8, 16, 
        10, -136, -10, -48, 38, -22, 40, 0, 22, -2, 39, 
        0, -32, 84, 16, 0, 14, 30, 72, 48, -16, 
        68, -72, -38, -7, 128, 0, 0, 2, -40, -16, 24, 
        15, -40, 23, 0, 5, -20, 8, 28, -41, 70, -3, 0, 0, 
        0, -55, -40, 12, 
        16, -12, -12, -8, -16, -17, -84, -24, 56, 
        87, 0, -56, 10, -7, 28, 0, 8, -70, -16, 12, -24, 
        30, -36, -40, 0, 10, 0, 
        30, -16, -68, -32, -12, 144, 8, 0, -4, 56, 
        6, -14, -58, -24, 48, 0, -24, -78, 56, -30, 
        50, 18, -36, 48, 49, 4, 0, -48, -10, -8, 105, 
        0, -23, 136, -16, 34, 20, 24, 48, 24, 12, 4, -8, 8, 40, 
        0, 12, 0, -42, -22, 4, 20, -80, -144, -1, 
        0, -2, 0, 30, 32, -20, 28, 42, 0, 
        0, -16, -24, -48, -42, -120, -24, -32, 
        52, -54, 44, 4, 2, 24, -4, 0, -17, 36, -8, 0, 0, 28, 
        4, 16, 2, 30, -25, -16, -56, -24, -42, 
        0, -36, -28, -2, -8, -8, -8, 0, 
        20, -6, -80, -2, -50, -62, -12, 24, 0, 27, 0, 
        4, 40, 0, -58, -16, 120, -6, 0, 2, -14, -26, 
        24, -28, 0, -82, 140, -34, 8, -63, 60, 60, 
        60, -17, -108, 96, 60, 0, -32, 0, 0, -6, 40, 9, 
        30, -14, 0, -40, 16, 42, 36, -18, 64, 33, 24, -57, 0, 
        90, 26, -15, 16, 14, -56, -4, -28, 38, 8, 76, 0, 
        32, -104, 54, 0, 12, 142, 0, 6, -25, -14, 
        24, -64, -47, -112, -6, 26, 88, 40, 20, 0, -8, 
        46, -30, 24, 32, 0, -72, 48, 0, -48, 
        27, -72, -40, 16, 28, 0, -15, -72, -50, 6, 
        12, -44, 50, 0, 0, -16, -44, -14, -39, 40, 72, 
        0, -86, 48, 2, 100, 3, 0, 10, -12, 32, -64, -81, 0, 
        44, -98, -6, 0, 70, -10, -53, 8, 
        8, -116, -16, -56, 60, 30, -14, -20, -28, 12, 
        0, 0, 0, 72, 0, 24, -36, 8, -38, 8, -32, 40, 40, -72, 
        3, -110, -80, 0, 27, 0, 8, -46, 
        2, -48, -49, -64, 10, -24, 62, 46, 18, 14, 14, 0, 
        36, -52, 85, 4, 0, -74, 39, 40, -4, 60, 10, -44, 96, 
        4, 22, 0, 44, 48, -22, 2, 13, 42, -39, 0, 42, 12, 30, 24, 0, 
        82, -2, 0, -40, 96, 45, -40, 18, 30, 32, -68, 
        10, -20, 0, 8, 37, -64, -22, 0, -16, -16, 13, 
        40, -14, -16, -18, -32, -80, 0, -32, 
        40, -14, 0, -20, 0, 40, -14, 29, 4, 18, 
        72, -40, -16, 
        25, -32, -18, -12, -32, -32, -25, 0, 0, 30, 
        16, -56, 22, 16, 0, -56, -5, 112, -120, 12, 
        80, -24, 24, 0, 4, -24, -30, 0, -5, 120, -90, 16, 
        22, 76, -56, -6, 56, -6, -30, 0, -20, 2, 14, 
        0, -32, 104, 0, 24, 8, -32, -24, -14, -60, 
        56, -70, 0, -6, -8, 55, -64, -56, 32, 7, 
        8, -2, 0, 7, -28, 16, 60, -64, 0, 
        0, -28, -26, -36, -12, -68, 18, -16, 
        45, -26, 4, 96, 0, -44, -32, 0, 42, 72, -13, 12, 32, 
        36, 13, 0, -12, -50, -2, 106, -44, 0, -8, 
        0, -112, 64, 6, -32, -10, -64, 24, 0, 
        7, -4, -6, -60, -33, 60, 20, 0, -10, 36, 0, 8, 
        20, -66, 29, -28, 23, 20, 0, 4, -103, -60, 24, 
        0, -24, 12, -24, -20, 70, 0, 40, 
        16, -72, -6, -7, 0, 24, 40, 80, 0, 22, -44, 
        8, -76, 5, -16, -34, 0, 38, 72, -48, 56, 
        74, -156, 14, 0, 58, 28, -60, 8, -8, 
        96, -92, -16, -41, -6, 5, 0, 54, 20, -3, 0, 
        58, -66, 72, 32, 0, 20, 51, 32, -8, 16, 21, 44, -8, 84, 
        0, 0, -4, 32, 42, 78, 45, -120, 
        10, -128, -14, -28, 100, 8, -73, -64, 34, 0, 37, 
        0, 98, -104, 51, -14, 12, -8, 4, 4, 8, 50, 126, 40, 0, 
        0, -8, -4, -76, 4, 0, -8, 30, 64, -100, 
        12, -43, 12, -2, -96, 0, 
        0, -24, -100, -24, -24, -8, -4, 44, 
        0, -19, -120, -17, 70, 4, -56, -48, 
        0, -40, -48, 12, -10, 52, 8, -45, 
        16, -88, -46, 0, -58, 14, -8, -24, 0, -24, 
        44, -103, 36, 4, -32, -45, -48, 8, 8, 70, 6, -3, 
        0, 0, 0, -42, 12, -50, -4, 15, 18, 92, 48, 0, 84, 
        14, -8, 60, -80, 16, 0, 0, -64, 48, -6, -18, 144, 
        18, -12, -46, -14, 10, 28, 9, 0, -16, 0, -14, 90, 
        56, 0, 12, 0, 8, 144, 28, -56, 10, 16, 40, -40, 32, 
        0, -66, 8, -15, -30, 16, 68, 0, 24, -21, 
        6, -1, -32, -24, 92, 2, 0, 40, 8, 0, 48, -2, 14, 17, 
        0, -57, 0, 31, -12, -38, 66, -96, 0, 4, 12, 38, 
        26, -85, -56, -60, 56, -2, 16, -40, -20, 
        0, -48, 9, 0, -34, -34, -6, -56, 16, 24, 13, 
        80, -34, -60, 17, 28, -40, 114, -24, 0, 40, -12, 
        100, 36, 30, -64, 63, 16, 2, -68, -24, -24, 
        0, -40, 12, 0, 3, -92, 0, -48, -22, 
        80, -4, -8, 52, 56, -112, -86, 32, -96, 18, 
        0, -35, 42, -18, 8, 24, 0, -4, 32, -90, 0, 
        20, -10, 42, -4, 18, 0, -25, -8, 53, -44, 
        6, -24, 42, -24, 0, -16, 20, -32, -27, 88, 0, 0, 
        12, 56, -30, 2, -7, -118, 0, -76, 36, 8, -28, 0, 
        4, 114, -16, 0, -12, -20, 21, -30, 32, 0, -96, 
        64, 30, -8, -24, 8, -21, 40, 0, 0, -26, 80, 15, 
        0, -10, -8, 60, -32, -8, -104, -2, 24, 32, 4, 
        58, 0, -4, 38, 7, -24, -26, -80, 8, 72, 63, 
        70, -16, 14, -6, -24, 4, 0, 0, 18, -56, -24, 0, 
        2, 32, -72, -12, -20, 3, -8, -72, 72, 41, 0, 
        7, -44, 34, 24, 13, 112, 6, 0, -120, 32, 
        42, -12, -72, 0, 12, 0, -6, -70, 30, -24, 32, 
        86, -6, -60, -36, 64, 0, 72, -14, 34, -78, 
        0, -76, 24, -12, 20, -62, -32, 16, -8, 60, 56, 
        0, -16, -7, 0, -60, 0, 28, -32, 92, -24, 18, 104, 
        50, -8, 23, 14, -35, -24, 102, 36, 44, 0, 0, 40, -22, 
        64, 20, -24, -18, 0, -80, -50, 4, -60, 
        20, -6, -55, 0, 83, -124, 8, 0, 40, 2, 
        23, -96, -9, 52, 64, -24, 114, -56, 12, 0, 
        6, -60, -60, -4, 0, 6, 0, -64, -36, 12, -40, 
        16, -4, 22, 7, 0, 50, -36, -23, 2, -52, 
        70, -30, -32, -88, 0, 18, 84, 23, 40, -27, 0, 40, 
        0, -40, 16, 20, -12, -8, -40, 
        25, -140, -30, -20, 0, -168, 28, 0, -22, 14, 
        16, -54, -44, 10, -38, -40, 34, -112, 1, 
        32, -82, 48, 0, 0, 14, -154, 74, -26, 12, 12, 8, 32, 96, 
        16, -48, 68, 56, 104, -20, 0, 28, -12, 0, 
        34, -3, -24, 84, 120, -16, 72, -90, 0, -16, 2, 
        47, 0, 19, 30, 20, 28, 15, 0, 30, -16, 12, 36, 48, 36, 
        20, -66, -42, 0, 36, -16, -73, -72, 74, 128, 2, 
        32, 0, 58, -36, 8, 20, 36, 54, 0, -6, -108, 
        0, -64, -24, -24, 30, 8, 8, 80, -63, 0, 58, -8, 
        36, 0, 7, -14, -21, 94, 6, 0, -3, 64, -70, 
        30, -48, -40, -30, 10, 0, 0, 22, 80, 4, 32, -48, 
        46, -27, -96, -3, -56, -22, -54, -39, -4, 12, 0, 48, 0, 0, 30, -57, -82, 0, 12, -28, 36, 
        54, -40, 28, -16, -4, 0, -60, -36, 107, 78, 
        0, -72, -32, 64, 56, 
        30, -8, -4, -8, -40, -96, 
        0, -14, -158, -107, 32, -20, -80, -80, 
        0, -35, 20, -18, 12, 30, -60, 54, 0, -48, 
        16, -47, -16, 48, 74, -92, 0, -3, 
        4, -19, -14, 0, 44, -24, 0, 56, -32, 6, 
        0, -68, -14, 0, -24, 53, 132, 22, 76, -90, 0, 32, 
        0, -1, 144, -16, 30, 56, 40, 42, -72, 102, 
        0, -46, -16, -30, -8, -32, 0, 0, -4, 
        34, -20, 54, 76, 4, 92, 64, -48, 15, 14, 22, 26, -50, 
        0, -8, 24, 28, 0, -20, -56, 0, -32, 30, 
        34, -10, -20, -17, 28, -66, 0, -70, 96, 48, 44, 
        0, -52, 0, 4, 25, 8, -123, 78, 8, -126, -38, 0, 
        103, -90, 16, 0, -126, -84, 60, 64, 28, 0, 
        18, -36, -4, -6, 5, 0, -31, 28, -16, -20, 
        10, -120, -60, -8, 12, 56, -12, 44, 0, 72, -84, 
        0, 0, 60, 92, -14, 94, 30, 16, -64, 16, -32, 20, 64, 72, 
        96, -26, 0, 22, -168, 28, -80, -56, -14, 62, 8, 
        24, 4, 39, -40, 15, 0, -39, 0, 52, 60, 0, 64, 9, -48, 48, 
        48, -25, 20, 32, -32, 4, -48, -52, 
        0, -4, -140, 20, 4, -16, 0, 68, 24, 25, 34, 
        0, -48, -24, -48, -88, 0, -36, 98, 2, 
        10, -42, 20, 85, -32, 0, 36, -7, -56, 6, -178, 
        22, 0, -5, 20, 42, 40, -72, -96, 48, 0, 88, 20, 0, 0, 27, 
        32, 120, 0, 35, -16, 
        60, -60, -15, -40, -8, -144, -80, 
        96, -5, -110, -60, -70, 0, 0, -98, -34, 54, 
        4, -29, 4, -4, -56, 12, -44, -63, 
        8, -1, -36, 18, 0, 33, 0, 10, 24, -28, 76, 128, 
        0, -12, 172, 15, -8, -55, 32, -68, 0, -12, 
        0, -2, 42, 0, -32, -35, 24, 92, -8, 
        64, -26, -4, -8, -49, 0, 44, -36, -40, 
        88, -16, -50, -3, 0, 12, -40, 70, 6, -113, 136, 
        0, 0, 14, 100, 46, -14, -29, 48, -53, 
        60, -41, -146, 0, -40, -64, -14, -15, 0, 12, 
        116, 39, -16, 8, 182, 70, 56, -60, 8, 32, 0, -6, 
        0, -15, 0, -62, 32, -54, 48, 2, -120, 
        28, -40, -16, 52, 20, 40, 70, 36, -40, 0, 0, 30, 
        24, -48, 0, 32, -36, 40, 0, 26, 18, -16, 24, 
        64, -107, 0, -24, 22, -36, 38, 50, 4, 13, 
        112, -2, -32, 55, -28, -28, 96, -12, 
        0, -10, -96, 10, 16, -30, 0, 0, -32, -52, 
        48, -28, -4, -117, 90, 71, 0, -45, 
        6, -6, -116, 14, -30, -2, -32, 4, 
        0, -56, -102, 84, -70, -22, 0, 20, 0, 
        0, -8, -88, -4, -46, -56, -12, 
        24, -144, -84, 0, -80, 42, 0, -17, 80, -24, 28, 
        108, -72, 36, 16, 20, 42, 12, 34, -43, 2, -36, 
        0, -30, -12, 2, -102, -22, -96, 
        4, -8, -14, -34, 16, -16, 72, -14, 49, 0, 
        20, -8, 0, -80, 96, 22, 24, 8, 28, 100, -22, -60, 0, 
        52, -4, 0, 42, -44, -32, 4, -16, 0, 83, 80, -49, 
        120, 102, -24, 48, -72, 1, 0, 78, 8, 80, 
        38, -58, -14, -66, 56, 0, 0, 15, 
        96, -80, -20, -28, 0, -12, -156, 60, 52, 3, 140, 
        36, 0, 82, 60, -106, 0, 4, 112, 66, 0, -18, -70, -40, 
        48, 29, -72, 0, 72, -55, 48, -30, 36, -58, 96, 0, 0, 
        12, -46, -82, 6, -60, 16, 112, -64, 
        59, -72, -12, 100, 8, -92, 5, 0, 7, 0, -36, 
        0, -28, -56, 52, -16, 14, 4, 
        2, -32, -37, -186, -12, 0, 120, -50, 30, 36, 
        0, -44, -10, 24, -4, -8, -12, 
        10, -10, -64, 24, 0, 0, -4, 12, 28, 21, -72, -56, 
        0, 112, -14, 15, -16, -6, 24, -112, 0, 41, 24, 
        82, -32, -20, -76, 48, 32, 0, -40, 0, 30, -30, 
        0, -36, 0, 36, -58, -10, 42, -84, 
        20, -8, -64, -32, 114, 10, 2, -52, 0, 16, 
        0, -108, 40, 89, 4, -8, 48, 56, 64, 20, -24, 
        0, -62, -20, 40, -12, 0, 0, -120, -70, 4, 122, 
        26, -7, 52, -27, -8, -74, 120, 36, 22, 22, 
        0, -72, 28, 32, 0, 18, -12, 20, 
        0, -16, -24, -81, -60, -30, 4, 15, 
        0, -80, -56, -73, 68, -16, 120, 0, -28, 
        73, -28, 56, 48, -50, -24, 64, 
        0, -12, -118, -80, 30, 0, 54, -30, -32, 114, 0, 
        8, 48, 60, -20, 25, 0, 14, -134, 38, -6, 
        8, -6, -60, -96, 6, -28, 17, -4, -76, 74, 1, 
        0, -24, 0, 24, -64, 52, 96, -36, 24, 42, -56, 32, 36, 
        4, -14, -28, 0, 28, 114, 8, 
        72, -90, -88, -4, -20, 22, -64, -96, -36, 
        40, 40, 0, 0, 30, 12, 0, -12, 129, 56, -27, 0, 30, -32, 
        84, 20, -18, 56, 28, 0, 16, -36, 16, -24, -34, 
        0, -48, -20, 21, -6, -13, 0, 21, 96, 30, 0, 44, 
        36, -11, 4, 34, 72, 36, -80, 0, -24, -68, -42, 
        18, 28, -68, 0, 36, 100, 5, -60, 32, 106, -101, 16, 
        0, -108, 8, 0, 110, -40, 32, 0, -36, -32, 14, 20, 64, 
        150, 105, -32, 77, 38, -2, 4, 18, -150, 0, 0, 
        30, -24, -8, -4, -76, 0, -36, -48, -132, 
        8, -120, -16, -33, -124, 48, 0, -16, 0, 10, 12, 
        40, 4, -68, 16, -75, 44, -32, -56, -34, 80, 6, 
        0, -128, 40, 0, 24, 0, 62, -54, 8, -104, -56, 
        6, -82, -12, 0, 47, 0, 20, 112, -54, -32, -88, 
        16, -22, 0, -20, -76, -49, -84, 16, -46, 72, 
        0, -11, 164, 36, 12, 
        93, -112, -32, -48, -78, -84, 0, -6, -27, 
        120, 35, 0, 5, 8, -28, 28, 48, -6, 15, 32, -30, 
        140, -3, 24, 0, 0, -126, 0, -20, -38, -4, 60, 
        115, 16, -33, -32, 60, 80, 39, 120, 10, 100, 30, 0, 0, 
        36, -16, -36, 8, 44, -20, 16, 42, 0, 32, 28, 94, -6, 
        16, 0, -42, 78, 35, 0, 12, -84, -76, -64, 6, 
        22, -14, 36, -6, -16, -48, 
        0, -32, -96, -8, 20, 98, 42, 0, 56, -8, -104, 
        50, -16, -7, -136, -52, 0, 100, -12, 2, 
        18, -1, 50, 0, -48, -40, 0, -4, 12, -48, 
        96, -2, 0, 38, -8, 28, 0, -4, -40, 14, 0, 
        44, -36, 15, 80, 0, 12, 40, 0}

Λ[
        s_] := (∑_(n = 1)^5000)(an[[n]]*
              G[s, (n/Q)]) + (∑_(n = 1)^5000)(an[[n]]*
              G[1 - s, (n/Q)])

Λ[2] // N

no. we get the same thing. so I doubt that it is just an issue of number of a_n being used.
Something in the formula must be wrong.