Atkin-Lehner |
2- 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072l |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
120320 |
Modular degree for the optimal curve |
Δ |
1033810051536 = 24 · 316 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3774,-74635] |
[a1,a2,a3,a4,a6] |
j |
509661571072/88632549 |
j-invariant |
L |
4.9308604897188 |
L(r)(E,1)/r! |
Ω |
0.61635762638931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36024a1 |
Quadratic twists by: -3 |