Atkin-Lehner |
2- 3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91632l |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
448000 |
Modular degree for the optimal curve |
Δ |
10417785278091264 = 212 · 32 · 237 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 4 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77285,6679629] |
[a1,a2,a3,a4,a6] |
Generators |
[316:3703:1] |
Generators of the group modulo torsion |
j |
12463930461270016/2543404608909 |
j-invariant |
L |
7.5638932151846 |
L(r)(E,1)/r! |
Ω |
0.38461350517945 |
Real period |
R |
1.4047298898658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5727g1 |
Quadratic twists by: -4 |