Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936p |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
2392517640192 = 217 · 3 · 17 · 713 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -5 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9184,333568] |
[a1,a2,a3,a4,a6] |
Generators |
[42:142:1] [48:32:1] |
Generators of the group modulo torsion |
j |
20917350641377/584110752 |
j-invariant |
L |
6.5898052167678 |
L(r)(E,1)/r! |
Ω |
0.81363829436156 |
Real period |
R |
0.67493189361374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242k1 |
Quadratic twists by: -4 |