Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050bn |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
94691360175781250 = 2 · 510 · 78 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-460013,-119211233] |
[a1,a2,a3,a4,a6] |
Generators |
[114398:13607137:8] |
Generators of the group modulo torsion |
j |
191227225/1682 |
j-invariant |
L |
7.3767214764477 |
L(r)(E,1)/r! |
Ω |
0.18341612288621 |
Real period |
R |
6.7030834586636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050bc1 71050cc1 |
Quadratic twists by: 5 -7 |