Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cn |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
67600000000 = 210 · 58 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 -5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4108,-100568] |
[a1,a2,a3,a4,a6] |
j |
44302512384/390625 |
j-invariant |
L |
1.193309206683 |
L(r)(E,1)/r! |
Ω |
0.59665460291249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080x1 13520m1 54080di1 |
Quadratic twists by: -4 8 13 |