Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635t |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
42941745 = 38 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-894620,325616655] |
[a1,a2,a3,a4,a6] |
j |
79184385609230668294081/42941745 |
j-invariant |
L |
1.7368973152222 |
L(r)(E,1)/r! |
Ω |
0.86844865761109 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905u1 98175f1 |
Quadratic twists by: -3 5 |