Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080di |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
326292288400000000 = 210 · 58 · 138 |
Discriminant |
Eigenvalues |
2- -3 5- -3 5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-694252,-220947896] |
[a1,a2,a3,a4,a6] |
Generators |
[-507:845:1] |
Generators of the group modulo torsion |
j |
44302512384/390625 |
j-invariant |
L |
3.704500155664 |
L(r)(E,1)/r! |
Ω |
0.16548221265712 |
Real period |
R |
0.93275386318521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bs1 13520g1 54080cn1 |
Quadratic twists by: -4 8 13 |