Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232bi |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
28974461227008 = 212 · 3 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8873,-193833] |
[a1,a2,a3,a4,a6] |
j |
8000/3 |
j-invariant |
L |
1.0151060670991 |
L(r)(E,1)/r! |
Ω |
0.50755303354959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232a1 11616p1 69696y1 23232bh1 |
Quadratic twists by: -4 8 -3 -11 |