Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725m |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
4146376953125 = 510 · 114 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ 3 11- 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4033,9719] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:312:1] |
Generators of the group modulo torsion |
j |
31719424/18125 |
j-invariant |
L |
3.2794046959246 |
L(r)(E,1)/r! |
Ω |
0.66840973717538 |
Real period |
R |
1.2265697674855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545e1 87725c1 |
Quadratic twists by: 5 -11 |