On the norms of -stabilized elliptic newforms (with an appendix by Keith Conrad)

J Brown, K Klosin - arXiv preprint arXiv:1402.0900, 2014 - arxiv.org
Let $ f\in S_ {\kappa}(\Gamma_0 (N)) $ be a Hecke eigenform at $ p $ with eigenvalue
$\lambda_f (p) $ for a prime $ p $ not dividing $ N $. Let $\alpha_p $ and $\beta_p $ be …

[PDF][PDF] ON THE NORMS OF p-STABILIZED ELLIPTIC NEWFORMS

JIM BROWN, K KLOSIN - 2013 - Citeseer
Let f∈ Sκ (Γ0 (N)) be a Hecke eigenform at p with eigenvalue λf (p) for a prime p N. Let αp
and βp be complex numbers satisfying αp+ βp= λf (p) and αpβp= pκ− 1. We calculate the …