Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112q |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
10018961335620432 = 24 · 310 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110075,-13242696] |
[a1,a2,a3,a4,a6] |
j |
1909913257984/129730653 |
j-invariant |
L |
1.3161289859864 |
L(r)(E,1)/r! |
Ω |
0.26322579719729 |
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 |
4056d1 32448cq1 24336q1 624e1 |
Quadratic twists by: -4 8 -3 13 |