Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990v |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
4480100612900 = 22 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63346,-6141024] |
[a1,a2,a3,a4,a6] |
Generators |
[128564:5650683:64] |
Generators of the group modulo torsion |
j |
15868125221689/2528900 |
j-invariant |
L |
5.8038758055068 |
L(r)(E,1)/r! |
Ω |
0.30093581221041 |
Real period |
R |
9.6430460749698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950q1 2090e1 |
Quadratic twists by: 5 -11 |