`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 2026-11-02).

@misc{flint-doc-acb-modular-acb-modular-delta,
  author       = {{The FLINT team}},
  title        = {{acb\_modular\_delta (acb\_modular.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_modular/acb_modular_delta.html},
  note         = {Generated 2026-11-02}
}

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