Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5712v |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
4758096 = 24 · 3 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337,2270] |
[a1,a2,a3,a4,a6] |
j |
265327034368/297381 |
j-invariant |
L |
3.6438940396235 |
L(r)(E,1)/r! |
Ω |
2.4292626930823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1428a1 22848cc1 17136bp1 39984cj1 |
Quadratic twists by: -4 8 -3 -7 |