Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300j |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
40081250000 = 24 · 58 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11133,455762] |
[a1,a2,a3,a4,a6] |
j |
610462990336/160325 |
j-invariant |
L |
4.4834221548914 |
L(r)(E,1)/r! |
Ω |
1.1208555386907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11660e1 |
Quadratic twists by: 5 |