Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720cg |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
539492352000 = 222 · 3 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171585,27299775] |
[a1,a2,a3,a4,a6] |
j |
2131200347946769/2058000 |
j-invariant |
L |
2.3249357146615 |
L(r)(E,1)/r! |
Ω |
0.77497857155384 |
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 |
6720l3 1680k3 20160dr3 33600ex3 |
Quadratic twists by: -4 8 -3 5 |