Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32752j |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-2250700302057472 = -1 · 240 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86699,-10087462] |
[a1,a2,a3,a4,a6] |
j |
-17595678939932673/549487378432 |
j-invariant |
L |
0.55542817890778 |
L(r)(E,1)/r! |
Ω |
0.1388570447274 |
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 |
4094e1 |
Quadratic twists by: -4 |