Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bq |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1703235600 = 24 · 38 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-302,429] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:51:1] |
Generators of the group modulo torsion |
j |
4165509529/2336400 |
j-invariant |
L |
7.7070020803371 |
L(r)(E,1)/r! |
Ω |
1.2904741630268 |
Real period |
R |
0.74652812710854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470d1 |
Quadratic twists by: -3 |