Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138bi |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
6425965270957968 = 24 · 35 · 197 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -6 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55421,-3220767] |
[a1,a2,a3,a4,a6] |
j |
400152624409/136589328 |
j-invariant |
L |
6.3956118047207 |
L(r)(E,1)/r! |
Ω |
0.31978060483063 |
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 |
4902b1 |
Quadratic twists by: -19 |