Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504bk |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
13973766757433344 = 214 · 318 |
Discriminant |
Eigenvalues |
2- 3 -3 -3 5 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119164,-14776336] |
[a1,a2,a3,a4,a6] |
j |
13392 |
j-invariant |
L |
4.130742711163 |
L(r)(E,1)/r! |
Ω |
0.25817141963479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504i1 15376e1 61504cg1 |
Quadratic twists by: -4 8 -31 |