Atkin-Lehner |
2- 3- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142bd |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2754268272 = 24 · 34 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494,3348] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:94:1] |
Generators of the group modulo torsion |
j |
13333970928097/2754268272 |
j-invariant |
L |
9.0576126012247 |
L(r)(E,1)/r! |
Ω |
1.3581022524738 |
Real period |
R |
0.41683222787192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426s2 |
Quadratic twists by: -3 |