Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720cs |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
3.8752249769218E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3574625,-2423964102] |
[a1,a2,a3,a4,a6] |
Generators |
[-1214:11310:1] |
Generators of the group modulo torsion |
j |
315715072605491907936256/24220156105761328125 |
j-invariant |
L |
7.7715503629823 |
L(r)(E,1)/r! |
Ω |
0.11033054952659 |
Real period |
R |
2.9349495660749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180f1 |
Quadratic twists by: -4 |