Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824j |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
342802432 = 214 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 3 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:14:1] |
Generators of the group modulo torsion |
j |
493039/244 |
j-invariant |
L |
6.1961427792888 |
L(r)(E,1)/r! |
Ω |
1.363211427783 |
Real period |
R |
1.1363136071605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978c1 47824u1 |
Quadratic twists by: -4 -7 |