# Hidden Symmetries and j(\\tau)

Source: [Hidden Symmetries and j(\\tau)](<https://www.sota2.com/research/paper/68fa4ef01e209131ce95f8e0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:03:55.428Z

Authors: K.Bugajska

Published: 2010-12-12T17:02:56.000Z

## Abstract

We show that for supersingular prime p the image of a unique meromorphic function G\_p on X\_0(p) (of degree two, with polar divisor {\[0\]\_0,\[\\infty\]\_0}) under a certain Hecke operator is equal to j(\\tau) (up to some additional constant). This generates quantities of relations between the coefficients of j(t) and leads to some group of hidden symmetries whose order must be divided by p.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1012.2558>)

[PDF](<https://arxiv.org/pdf/1012.2558.pdf>)