#18061: Implement (correct) action of Atkin-Lehner operators on newforms
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Reporter: pbruin | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.8
Component: modular forms | Resolution:
Keywords: newform Atkin- | Merged in:
Lehner operator | Reviewers:
Authors: Peter Bruin | Work issues:
Report Upstream: N/A | Commit:
Branch: | a98bee2a3337431582e1762a0bf30f7577742bee
u/pbruin/18061-atkin_lehner_action | Stopgaps:
Dependencies: #18068, #18072, |
#18086, #18478 |
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Changes (by pbruin):
* status: needs_work => needs_review
* milestone: sage-6.6 => sage-6.8
Comment:
Replying to [comment:16 davidloeffler]:
> Here's another gripe. The following is waaay too slow:
> {{{
> sage: F = Newforms(299,names='a')[0]
> sage: time F.atkin_lehner_eigenvalue(299)
> CPU times: user 4.99 s, sys: 18.9 ms, total: 5.01 s
> Wall time: 5 s
> 1
> }}}
> What on earth can be taking the time here? According to the profiler,
the total time is 5.028 seconds, of which 5.026 is spent in four calls to
the "twist" routine.
You are right, `twist()` can and should be made much faster. I propose to
do this either on #18086 or on a follow-up ticket; I think this one can go
back to needs_review.
--
Ticket URL: <http://trac.sagemath.org/ticket/18061#comment:19>
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