Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050bk |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
811012500000 = 25 · 36 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4055,90447] |
[a1,a2,a3,a4,a6] |
j |
25888585/2848 |
j-invariant |
L |
4.3283080740546 |
L(r)(E,1)/r! |
Ω |
0.86566161480317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450g1 40050f1 |
Quadratic twists by: -3 5 |