Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bj |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1822720000 = 215 · 54 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21182008,37530169712] |
[a1,a2,a3,a4,a6] |
j |
410568050484022158025/712 |
j-invariant |
L |
0.9160911385492 |
L(r)(E,1)/r! |
Ω |
0.45804556928364 |
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 |
4450f1 35600x2 |
Quadratic twists by: -4 5 |