Atkin-Lehner |
3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635o |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2634240 |
Modular degree for the optimal curve |
Δ |
1.3633203894653E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- 3 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16237591,-25183483385] |
[a1,a2,a3,a4,a6] |
j |
3912939765290923440308224/1126711065673828125 |
j-invariant |
L |
1.5042037019548 |
L(r)(E,1)/r! |
Ω |
0.0752101850946 |
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 |
52635m1 |
Quadratic twists by: -11 |