Atkin-Lehner |
2- 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
95004l |
Isogeny class |
Conductor |
95004 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
25209881424 = 24 · 38 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1056,-10775] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:49:1] [-16:45:1] |
Generators of the group modulo torsion |
j |
11165237248/2161341 |
j-invariant |
L |
10.703901289228 |
L(r)(E,1)/r! |
Ω |
0.84877509781493 |
Real period |
R |
2.1018330447949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668f1 |
Quadratic twists by: -3 |