The Denominator of the Special Value L(A<sub>f</sub>,1)/Omega(A<sub>f</sub>)
The Denominator of the Special Value L(Af,1)/Omega(Af)
Amod Agashe and William Stein
Let be a newform and the quotient
of constructed by Shimura.
We prove that, up to a Manin constant and a power of ,
the denominator of the rational number
divides the order of the image of in .
This provides evidence for the Birch and Swinnerton-Dyer
conjecture and raises questions about the structure of .
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