Atkin-Lehner |
2+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8398g |
Isogeny class |
Conductor |
8398 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
156248215426628 = 22 · 132 · 173 · 196 |
Discriminant |
Eigenvalues |
2+ -2 0 2 0 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21871,-1091826] |
[a1,a2,a3,a4,a6] |
j |
1156914033098811625/156248215426628 |
j-invariant |
L |
0.79219233827849 |
L(r)(E,1)/r! |
Ω |
0.39609616913925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
67184u1 75582bn1 109174m1 |
Quadratic twists by: -4 -3 13 |