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

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

2004-12-06

arxiv.org/abs/math/0412104v1

Mathematics

Number Theory

21 pages, submitted to "Elliptic curves and random matrix theory."

Scientific paper

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.

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