Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520r |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-406670110000 = -1 · 24 · 54 · 72 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1645,17350] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:95:1] |
Generators of the group modulo torsion |
j |
30749453441024/25416881875 |
j-invariant |
L |
4.3416535668732 |
L(r)(E,1)/r! |
Ω |
0.61206181043031 |
Real period |
R |
0.29556203126254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040r1 |
Quadratic twists by: -4 |