Atkin-Lehner |
2- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10868d |
Isogeny class |
Conductor |
10868 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
37296 |
Modular degree for the optimal curve |
Δ |
208243962637568 = 28 · 117 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 5 11- 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16184,-382028] |
[a1,a2,a3,a4,a6] |
j |
1831223513161728/813452979053 |
j-invariant |
L |
3.0875424161427 |
L(r)(E,1)/r! |
Ω |
0.44107748802038 |
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 |
43472h1 97812g1 119548h1 |
Quadratic twists by: -4 -3 -11 |