Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050co |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
114480 |
Modular degree for the optimal curve |
Δ |
23901220000 = 25 · 54 · 72 · 293 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 4 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2505,48297] |
[a1,a2,a3,a4,a6] |
Generators |
[25:16:1] |
Generators of the group modulo torsion |
j |
56742473025/780448 |
j-invariant |
L |
5.9096862938733 |
L(r)(E,1)/r! |
Ω |
1.2022197778732 |
Real period |
R |
0.3277097029541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050y1 71050cg1 |
Quadratic twists by: 5 -7 |