#9455: Dimensions of eigenspaces for the Atkin-Lehner operator acting on modular
forms
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Reporter: ljpk | Owner: craigcitro
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.0
Component: modular forms | Keywords:
Author: ljpk | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This is a port of David Kohel's MAGMA code to compute dimensions of the
eigenspaces for the Atkin-Lehner operators acting on spaces of cusp forms
of weight 2 (see here for the original):
http://echidna.maths.usyd.edu.au/echidna/dbs/atkin-lehner/index.html
These methods do not rely on computing explicit bases of newforms, instead
using formulae about the ramification points of the Atkin-Lehner operator.
These functions use the class number method qfbclassno() from Pari/GP.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9455>
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