Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bn |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-56800235584 = -1 · 26 · 316 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,961,0] |
[a1,a2,a3,a4,a6] |
Generators |
[10237576036800:86949902410280:187837175583] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.1921552755204 |
L(r)(E,1)/r! |
Ω |
0.66600328479382 |
Real period |
R |
21.597957366684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504bn1 30752f2 64a4 |
Quadratic twists by: -4 8 -31 |