Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
10146p |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5049298944 = -1 · 212 · 36 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,341,-2383] |
[a1,a2,a3,a4,a6] |
j |
4384370502863/5049298944 |
j-invariant |
L |
5.875820631355 |
L(r)(E,1)/r! |
Ω |
0.73447757891938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81168bk1 30438k1 |
Quadratic twists by: -4 -3 |