Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144u |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
822004304 = 24 · 116 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 4 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1129,14166] |
[a1,a2,a3,a4,a6] |
j |
5619712/29 |
j-invariant |
L |
0.79787083391321 |
L(r)(E,1)/r! |
Ω |
1.5957416742865 |
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 |
14036e1 464e2 |
Quadratic twists by: -4 -11 |