Atkin-Lehner |
2+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784b |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
2337108224 = 28 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25164,1544864] |
[a1,a2,a3,a4,a6] |
j |
5172041242352/6859 |
j-invariant |
L |
3.6995264136769 |
L(r)(E,1)/r! |
Ω |
1.2331754712245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18392a1 36784a1 |
Quadratic twists by: -4 -11 |