Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800dy |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3717120000 = -1 · 214 · 3 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-3037] |
[a1,a2,a3,a4,a6] |
j |
-25600/363 |
j-invariant |
L |
3.5942867977676 |
L(r)(E,1)/r! |
Ω |
0.59904779948923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fk1 6600x1 52800bg1 |
Quadratic twists by: -4 8 5 |