Atkin-Lehner |
3- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96807g |
Isogeny class |
Conductor |
96807 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32389632 |
Modular degree for the optimal curve |
Δ |
-1.1857002285866E+25 |
Discriminant |
Eigenvalues |
2 3- 0 -1 5 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-138554798,649188350051] |
[a1,a2,a3,a4,a6] |
j |
-1987107706733542912000/80095457702598147 |
j-invariant |
L |
6.806923204724 |
L(r)(E,1)/r! |
Ω |
0.070905451321037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209c1 |
Quadratic twists by: -23 |