Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bl |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
1330 |
Product of Tamagawa factors cp |
deg |
4149600 |
Modular degree for the optimal curve |
Δ |
-1.6739979636695E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4884898,-4635994899] |
[a1,a2,a3,a4,a6] |
Generators |
[6681:567779:1] |
Generators of the group modulo torsion |
j |
17683277672517811149671/22962935029760000000 |
j-invariant |
L |
11.615210271492 |
L(r)(E,1)/r! |
Ω |
0.065936782408212 |
Real period |
R |
0.13244869535012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490b1 |
Quadratic twists by: -3 |