Examples of Shimura correspondence for level p2 and real quadratic twists
Abstract
We give examples of Shimura correspondence for rational modular forms f of weight 2 and level p2, for primes p<=19, computed as an application of a method we introduced in 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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