Atkin-Lehner |
2- 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520o |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
11118800 = 24 · 52 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-635,5950] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:95:1] [39:205:1] |
Generators of the group modulo torsion |
j |
1772591466496/694925 |
j-invariant |
L |
7.448566639874 |
L(r)(E,1)/r! |
Ω |
2.2326415195847 |
Real period |
R |
1.6681062711003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040v1 |
Quadratic twists by: -4 |