Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872x |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-280221165601429248 = -1 · 28 · 38 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,141596,15149600] |
[a1,a2,a3,a4,a6] |
j |
8284506032/7394247 |
j-invariant |
L |
3.2203819286241 |
L(r)(E,1)/r! |
Ω |
0.20127387416014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3864e1 |
Quadratic twists by: -23 |