Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bd |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
34531250000 = 24 · 510 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,23238] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:56:1] |
Generators of the group modulo torsion |
j |
1927561216/138125 |
j-invariant |
L |
4.822225130661 |
L(r)(E,1)/r! |
Ω |
1.1391194099689 |
Real period |
R |
4.2332920405852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22100f1 17680m1 |
Quadratic twists by: -4 5 |