Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208t |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-280029587941376 = -1 · 211 · 76 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 1 1 7- 2 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14880,405152] |
[a1,a2,a3,a4,a6] |
Generators |
[1411:53222:1] |
Generators of the group modulo torsion |
j |
1512116062/1162213 |
j-invariant |
L |
8.4881712978509 |
L(r)(E,1)/r! |
Ω |
0.35203249831171 |
Real period |
R |
4.0186494712049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2392a1 |
Quadratic twists by: -7 |