Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142bc |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
488555854952508 = 22 · 32 · 73 · 196 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61712,-5809212] |
[a1,a2,a3,a4,a6] |
Generators |
[2128:96406:1] |
Generators of the group modulo torsion |
j |
25991600105159039233/488555854952508 |
j-invariant |
L |
10.575773842258 |
L(r)(E,1)/r! |
Ω |
0.30325142102531 |
Real period |
R |
2.9062171708052 |
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 |
69426p2 |
Quadratic twists by: -3 |