2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106190Let f be a newform of weight 2k-2 and level 1. In this paper we provide evidence for the Bloch-Kato conjecture for modular forms. We demonstrate an implication that under suitable hypothesis if a prime divides the algebraic part of L(k,f), then the prime divides the order of the Selmer group associated to f. We demonstrate this by establishing a congruence between the Saito-Kurokawa lift of f and a cuspidal Siegel eigenform that is not a Saito-Kurokawa lift. We then examine what this congruence says in terms of Galois representations to produce a non-trivial p-torsion element in the Selmer group.36 Pages Submitted to Duke Mathematical JournalNumber Theory11F33; 11F67 (Primary); 11F46; 11F80 (Secondary)text