Sal reports:
The following computation should produce identical values in the last
line:
E=EllipticCurve('37b2')
h=E.modular_form()
Lh = h.cuspform_lseries()
LE=E.lseries()
h.elliptic_curve()==E, Lh(1), LE(1)
The output is:
(True, 0, 0.725681061936153)
I'm running Sage 3.3.alpha3 of sage.math.
The problem seems to be the sign of the functional equation -- it
looks like the cuspform_lseries() incorrectly computes it to be -1,
forcing the value at s=1 to be 0. In sage/modular/modform/element.py
the sign of the functional equation fed into the Dokchister is
computed by
e = (-1)**(l/2)*n.atkin_lehner_operator().matrix()[0,0]
which Gonzalo and Mark tell me is not correct.
[end quote]
This now #5247
Cheers,
Michael
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