Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600be |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-30751424000000 = -1 · 212 · 56 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10933,-518237] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/480491 |
j-invariant |
L |
0.46162752919418 |
L(r)(E,1)/r! |
Ω |
0.23081378443604 |
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 |
5225c1 3344e1 |
Quadratic twists by: -4 5 |