Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616be |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
1555363874947072 = 214 · 377 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 1 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51109,-4005187] |
[a1,a2,a3,a4,a6] |
j |
351232/37 |
j-invariant |
L |
1.2787434604254 |
L(r)(E,1)/r! |
Ω |
0.31968584768339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616f1 21904b1 2368o1 |
Quadratic twists by: -4 8 37 |