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Discriminants of Hecke Algebras at Prime Level

William A. Stein1


Date: September 24, 2002

Abstract:

We study $ p$-divisibility of discriminant of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than $ 2$, we are are led to make a conjecture about indexes of Hecke algebras in their normalization which, if true, implies that there are no mod $ p$ congruences between non-conjugate newforms in $ S_2(\Gamma_0(p))$.





William A Stein 2002-09-30