Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720ci |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
14517928857600 = 212 · 310 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79385,-8633625] |
[a1,a2,a3,a4,a6] |
j |
13507798771700416/3544416225 |
j-invariant |
L |
2.8442733042249 |
L(r)(E,1)/r! |
Ω |
0.28442733042249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720bu2 3360c1 20160dw2 33600fd2 |
Quadratic twists by: -4 8 -3 5 |