Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024l |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-78944095698944 = -1 · 219 · 75 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 2 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19216,-1104448] |
[a1,a2,a3,a4,a6] |
Generators |
[5482:405722:1] |
Generators of the group modulo torsion |
j |
-191591101730449/19273460864 |
j-invariant |
L |
5.2528856063661 |
L(r)(E,1)/r! |
Ω |
0.20159658226752 |
Real period |
R |
6.5141054814279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378q1 |
Quadratic twists by: -4 |