Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725q |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
3487103017578125 = 510 · 114 · 293 |
Discriminant |
Eigenvalues |
2 0 5+ 3 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51425,-3474969] |
[a1,a2,a3,a4,a6] |
Generators |
[-990:7971:8] |
Generators of the group modulo torsion |
j |
65743958016/15243125 |
j-invariant |
L |
14.119051713266 |
L(r)(E,1)/r! |
Ω |
0.32233130663521 |
Real period |
R |
1.2167477140608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545o1 87725h1 |
Quadratic twists by: 5 -11 |