Atkin-Lehner |
2- 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55332d |
Isogeny class |
Conductor |
55332 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4427136 |
Modular degree for the optimal curve |
Δ |
-1.4436314631245E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 1 4 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16506624,-31630298380] |
[a1,a2,a3,a4,a6] |
j |
-2665207303241929326592/773550809716084011 |
j-invariant |
L |
3.9848719402733 |
L(r)(E,1)/r! |
Ω |
0.036896962415206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18444b1 |
Quadratic twists by: -3 |