Atkin-Lehner |
31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58621b |
Isogeny class |
Conductor |
58621 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-49997325505828861 = -1 · 3110 · 61 |
Discriminant |
Eigenvalues |
1 -2 -3 3 3 -5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,86950,4290357] |
[a1,a2,a3,a4,a6] |
Generators |
[-118566:1904953:2744] |
Generators of the group modulo torsion |
j |
81916141607/56334781 |
j-invariant |
L |
3.7255031392173 |
L(r)(E,1)/r! |
Ω |
0.22497667275458 |
Real period |
R |
4.1398771413127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1891a1 |
Quadratic twists by: -31 |