Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bg |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
193104899985937500 = 22 · 318 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146678,4564937] |
[a1,a2,a3,a4,a6] |
Generators |
[1850589:47113249:2197] |
Generators of the group modulo torsion |
j |
478727467996694041/264890123437500 |
j-invariant |
L |
8.0562678487871 |
L(r)(E,1)/r! |
Ω |
0.2763236908383 |
Real period |
R |
7.288795818001 |
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 |
9570l3 |
Quadratic twists by: -3 |