Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018be |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
-554930749581574564 = -1 · 22 · 116 · 238 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30671,35783661] |
[a1,a2,a3,a4,a6] |
j |
23/4 |
j-invariant |
L |
2.6996558350624 |
L(r)(E,1)/r! |
Ω |
0.22497134696358 |
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 |
1058b1 128018bf1 |
Quadratic twists by: -11 -23 |