Atkin-Lehner |
2+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8944b |
Isogeny class |
Conductor |
8944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
64996048 = 24 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 0 4 2 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-718,7395] |
[a1,a2,a3,a4,a6] |
j |
2558450755584/4062253 |
j-invariant |
L |
2.9401353251826 |
L(r)(E,1)/r! |
Ω |
1.9600902167884 |
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 |
4472c1 35776f1 80496r1 116272b1 |
Quadratic twists by: -4 8 -3 13 |