2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62043In this paper we prove a Gross-Zagier type formula for the anticyclotomic p-adic L-function of an elliptic modular form f of higher weight and of multiplicative type at p. For such f we also decribe explicitely the local Galois representation attached to it at p and compare the Fontaine-Mazur and Teitelbaum L-invariants.61 pages, LaTeXNumber TheoryAlgebraic Geometry11F67 (Primary) 14F30, 11F80 (Secondary)Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular formstext