Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112bj |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1527582618432 = 26 · 38 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4917,-118640] |
[a1,a2,a3,a4,a6] |
j |
281784327616/32741397 |
j-invariant |
L |
2.2978057274215 |
L(r)(E,1)/r! |
Ω |
0.5744514291172 |
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 |
86112bq1 28704l1 |
Quadratic twists by: -4 -3 |