Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872z |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-896912738550528 = -1 · 28 · 3 · 73 · 237 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -3 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106505,13420299] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/23667 |
j-invariant |
L |
2.0040540837854 |
L(r)(E,1)/r! |
Ω |
0.50101354739555 |
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 |
3864f1 |
Quadratic twists by: -23 |