Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43792j |
Isogeny class |
Conductor |
43792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-1081489945001984 = -1 · 234 · 7 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10061,1533810] |
[a1,a2,a3,a4,a6] |
j |
27497120138487/264035631104 |
j-invariant |
L |
2.880799546168 |
L(r)(E,1)/r! |
Ω |
0.36009994328339 |
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 |
5474a1 |
Quadratic twists by: -4 |