Atkin-Lehner |
2+ 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8990b |
Isogeny class |
Conductor |
8990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-6517750000 = -1 · 24 · 56 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,377,-2523] |
[a1,a2,a3,a4,a6] |
Generators |
[1131:37497:1] |
Generators of the group modulo torsion |
j |
5901284571911/6517750000 |
j-invariant |
L |
4.242907276234 |
L(r)(E,1)/r! |
Ω |
0.72116642337575 |
Real period |
R |
2.941697740428 |
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 |
71920n1 80910u1 44950p1 |
Quadratic twists by: -4 -3 5 |