Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368n |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
750913832985034752 = 228 · 37 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1012624,-389652032] |
[a1,a2,a3,a4,a6] |
j |
28035534600833657617/183328572506112 |
j-invariant |
L |
0.30111928135699 |
L(r)(E,1)/r! |
Ω |
0.1505596406785 |
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 |
2046j1 65472co1 49104bn1 |
Quadratic twists by: -4 8 -3 |