#8622: Atkin-Lehner operators don't work for odd weight modular forms
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Reporter: davidloeffler | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone:
Component: modular forms | Resolution:
Keywords: atkin-lehner | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by davidloeffler):
I have some old code lying around which prevents obviously bogus values
being returned; I'll see if I can dig it up as a stopgap.
The trouble with the trick you mention is that (unless I've misunderstood)
you would only get a numerical approximation to the eigenvalue, and you'd
have to choose an embedding of the coefficient field into CC; and it is
difficult to recognise a number field element from a numerical
approximation to it, as always.
One of the PhD students here at Warwick, Barinder Banwait, has been
working on calculating Atkin-Lehner eigenvalues and he may have some code
ready soon.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8622#comment:4>
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