Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9256b |
Isogeny class |
Conductor |
9256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-966354992006144 = -1 · 210 · 132 · 895 |
Discriminant |
Eigenvalues |
2- 1 -1 0 -2 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16656,1703696] |
[a1,a2,a3,a4,a6] |
j |
-499070576480836/943706046881 |
j-invariant |
L |
1.7670196484814 |
L(r)(E,1)/r! |
Ω |
0.44175491212035 |
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 |
18512a1 74048e1 83304e1 120328a1 |
Quadratic twists by: -4 8 -3 13 |