FLINT3.7.0-dev

acb_modular_delta

Synopsis#include <flint/acb_modular.h>
void acb_modular_delta(acb_t z, const acb_t tau, slong prec)source

Sets z to the modular discriminant \Delta(\tau) = \eta(\tau)^{24}, computed as (\theta_2 \theta_3 \theta_4 / 2)^8, which transforms as \Delta(g\tau) = (c\tau+d)^{12} \Delta(\tau). The discriminant is sometimes defined with an extra factor (2\pi)^{12}, which is omitted here.

Cite this page

The FLINT team, “acb_modular_delta (acb_modular.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_modular/acb_modular_delta.html (generated 2026-10-20).