#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):
> Well, you do only get a numerical approximation to the eigenvalue, but
in the odd weight case, you know the eigenvalue is i or -i, since the
square of Atkin–Lehner acts by (-1)k (where k is the weight).
Just to be clear: are you referring here to your very specific case of odd
weight CM forms with CM by their own nebentypus? Otherwise this statement
is false: you know the product of the pseudo-eigenvalues of f and f*, but
there is no reason why these two numbers should be equal.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8622#comment:6>
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