Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bj |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
206299769066496 = 210 · 310 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32304,-2125240] |
[a1,a2,a3,a4,a6] |
Generators |
[-334642:65295:2744] |
Generators of the group modulo torsion |
j |
4994190819328/276357501 |
j-invariant |
L |
6.3535323373015 |
L(r)(E,1)/r! |
Ω |
0.35733926994762 |
Real period |
R |
8.8900560848107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928eq1 7308c1 38976c1 |
Quadratic twists by: -4 8 -3 |