Atkin-Lehner |
2- 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bj |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19130458850244 = 22 · 38 · 74 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-161996,-25054549] |
[a1,a2,a3,a4,a6] |
Generators |
[697:13803:1] [921:24163:1] |
Generators of the group modulo torsion |
j |
644921037147155833/26242056036 |
j-invariant |
L |
13.069765218317 |
L(r)(E,1)/r! |
Ω |
0.23797139237344 |
Real period |
R |
13.730395372293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23142i2 |
Quadratic twists by: -3 |