Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
9256c |
Isogeny class |
Conductor |
9256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
296192 = 28 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -2 -4 3 -2 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6945,-225101] |
[a1,a2,a3,a4,a6] |
j |
144731488592896/1157 |
j-invariant |
L |
1.0459388077461 |
L(r)(E,1)/r! |
Ω |
0.52296940387303 |
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 |
18512b1 74048i1 83304j1 120328c1 |
Quadratic twists by: -4 8 -3 13 |