Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738w |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
43500610624 = 26 · 294 · 312 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -1 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1787,-27439] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:43:1] [-218:387:8] |
Generators of the group modulo torsion |
j |
656733501553/45265984 |
j-invariant |
L |
14.094348719057 |
L(r)(E,1)/r! |
Ω |
0.73747472268082 |
Real period |
R |
0.79631818135565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738m1 |
Quadratic twists by: -31 |