Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834bh |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
2649008077056 = 28 · 32 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3572,-25200] |
[a1,a2,a3,a4,a6] |
j |
2845178713/1495296 |
j-invariant |
L |
5.2385571053806 |
L(r)(E,1)/r! |
Ω |
0.65481963817966 |
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 |
128502ba1 3894d1 |
Quadratic twists by: -3 -11 |