Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bd |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
15745024 = 214 · 312 |
Discriminant |
Eigenvalues |
2+ 3 -3 3 5 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-496] |
[a1,a2,a3,a4,a6] |
j |
13392 |
j-invariant |
L |
5.7497505155728 |
L(r)(E,1)/r! |
Ω |
1.4374376297438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504cg1 7688q1 61504i1 |
Quadratic twists by: -4 8 -31 |