Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5904l |
Isogeny class |
Conductor |
5904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-998222829918879744 = -1 · 237 · 311 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 -1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25203,-48094414] |
[a1,a2,a3,a4,a6] |
Generators |
[430:4536:1] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
4.0633844239427 |
L(r)(E,1)/r! |
Ω |
0.12487601149282 |
Real period |
R |
4.0674189295519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
738b1 23616bl1 1968h1 |
Quadratic twists by: -4 8 -3 |