Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200dt |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1607609025000000 = 26 · 312 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222825,40439000] |
[a1,a2,a3,a4,a6] |
j |
1678370855104/2205225 |
j-invariant |
L |
1.8944824570261 |
L(r)(E,1)/r! |
Ω |
0.47362060591185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79200dc1 26400a1 15840j1 |
Quadratic twists by: -4 -3 5 |