Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232k |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
126009072621501696 = 28 · 316 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11+ -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2246916,-1296255692] |
[a1,a2,a3,a4,a6] |
Generators |
[217180:835434:125] |
Generators of the group modulo torsion |
j |
6722282026842016768/675202935429 |
j-invariant |
L |
6.4565686345753 |
L(r)(E,1)/r! |
Ω |
0.12331203444109 |
Real period |
R |
6.5449498339742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464o1 18744e1 |
Quadratic twists by: -4 -3 |