Atkin-Lehner |
23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47081a |
Isogeny class |
Conductor |
47081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31460 |
Modular degree for the optimal curve |
Δ |
13175194121 = 236 · 89 |
Discriminant |
Eigenvalues |
1 2 2 -2 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-804,-7165] |
[a1,a2,a3,a4,a6] |
j |
389017/89 |
j-invariant |
L |
4.1002369083718 |
L(r)(E,1)/r! |
Ω |
0.91116375758652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89b2 |
Quadratic twists by: -23 |