Atkin-Lehner |
2- 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456bm |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
36835671932928 = 218 · 39 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9003,151130] |
[a1,a2,a3,a4,a6] |
j |
27027009001/12336192 |
j-invariant |
L |
4.661860588929 |
L(r)(E,1)/r! |
Ω |
0.58273255783426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682t1 31152q1 |
Quadratic twists by: -4 -3 |