Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cs |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
21054908467773440 = 226 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72332,2706704] |
[a1,a2,a3,a4,a6] |
Generators |
[1820:160888:125] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
6.6843099257764 |
L(r)(E,1)/r! |
Ω |
0.33890655086022 |
Real period |
R |
4.9307913264279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080bb1 13520n1 4160j1 |
Quadratic twists by: -4 8 13 |