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arXiv:math/0412104 [math.NT]AbstractReferencesReviewsResources

Examples of Shimura correspondence for level p^2 and real quadratic twists

Ariel Pacetti, Gonzalo Tornaria

Published 2004-12-06Version 1

We give examples of Shimura correspondence for rational modular forms f of weight 2 and level p^2, for primes p<=19, computed as an application of a method we introduced in \cite{Pacetti-Tornaria}. Furthermore, we verify in this examples a conjectural formula for the central values L(f,-pd,1) and, in case p = 3 (mod 4), a formula for the central values L(f,d,1) corresponding to the real quadratic twists of f.

Comments: 21 pages, submitted to "Elliptic curves and random matrix theory."
Categories: math.NT
Subjects: 11F37, 11F67
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