The Denominator of the Special Value L(Af,1)/Omega(Af)
Amod Agashe and William Stein
Let $f$ be a newform and $A_f$ the quotient
of $J_0(N)$ constructed by Shimura.
We prove that, up to a Manin constant and a power of $2$,
the denominator of the rational number $L(A_f,1)/\Omega(A_f)$
divides the order of the image of $(0)-(\infty)$ in $A_f(\Q)$.
This provides evidence for the Birch and Swinnerton-Dyer
conjecture and raises questions about the structure of $A_f(\Q)$.
Get denominator.dvi.
denominator.tex
and
macros.tex
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