Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536n |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
19536 = 24 · 3 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-407,-3300] |
[a1,a2,a3,a4,a6] |
j |
467147020288/1221 |
j-invariant |
L |
4.2508142355471 |
L(r)(E,1)/r! |
Ω |
1.0627035588868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768a1 78144bs1 58608h1 |
Quadratic twists by: -4 8 -3 |