Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112bf |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-181351872 = -1 · 26 · 36 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9,-648] |
[a1,a2,a3,a4,a6] |
j |
-1728/3887 |
j-invariant |
L |
3.2617710498073 |
L(r)(E,1)/r! |
Ω |
0.81544277938565 |
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 |
86112bp1 9568e1 |
Quadratic twists by: -4 -3 |