Atkin-Lehner |
5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825x |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3780000 |
Modular degree for the optimal curve |
Δ |
1.2835286523413E+22 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11+ -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18615833,30424655619] |
[a1,a2,a3,a4,a6] |
j |
1826464029772840960000/32858333499937253 |
j-invariant |
L |
0.75820162879334 |
L(r)(E,1)/r! |
Ω |
0.1263669379881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55825e1 |
Quadratic twists by: 5 |