Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cg |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4870947192832 = 214 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6076,148176] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:456:1] |
Generators of the group modulo torsion |
j |
12869712/2527 |
j-invariant |
L |
4.6941978597204 |
L(r)(E,1)/r! |
Ω |
0.72993139928784 |
Real period |
R |
1.6077530929891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59584bc2 14896bc2 8512d2 |
Quadratic twists by: -4 8 -7 |