Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33640b |
Isogeny class |
Conductor |
33640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259840 |
Modular degree for the optimal curve |
Δ |
5802858390347600 = 24 · 52 · 299 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211371,-37153480] |
[a1,a2,a3,a4,a6] |
j |
4499456/25 |
j-invariant |
L |
4.0091825580776 |
L(r)(E,1)/r! |
Ω |
0.22273236433853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67280e1 33640f1 |
Quadratic twists by: -4 29 |