Atkin-Lehner |
2+ 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bc |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-471771985500 = -1 · 22 · 310 · 53 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,854,31688] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:119:1] [-14:137:1] |
Generators of the group modulo torsion |
j |
551973381427/3774175884 |
j-invariant |
L |
8.8476790756939 |
L(r)(E,1)/r! |
Ω |
0.67936601942209 |
Real period |
R |
0.65117174122405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650bw1 |
Quadratic twists by: 5 |