Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bp |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
1.6334234969657E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8700287,-7727955289] |
[a1,a2,a3,a4,a6] |
Generators |
[-2181:30574:1] |
Generators of the group modulo torsion |
j |
99907219952951041758889/22406357983069209600 |
j-invariant |
L |
9.5405321281327 |
L(r)(E,1)/r! |
Ω |
0.089316045967547 |
Real period |
R |
5.340883614338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470l1 |
Quadratic twists by: -3 |