Atkin-Lehner |
2- 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125628h |
Isogeny class |
Conductor |
125628 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
235103254272 = 28 · 35 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1564,-5308] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-114:1] [-16:126:1] |
Generators of the group modulo torsion |
j |
12689872/7047 |
j-invariant |
L |
11.762725143495 |
L(r)(E,1)/r! |
Ω |
0.81380840532884 |
Real period |
R |
0.32119831947389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125628c1 |
Quadratic twists by: -19 |