Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cc |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3440640 = 215 · 3 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4481,-116961] |
[a1,a2,a3,a4,a6] |
j |
303735479048/105 |
j-invariant |
L |
2.3340370343278 |
L(r)(E,1)/r! |
Ω |
0.58350925858195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720bj3 3360p2 20160fj3 33600en4 |
Quadratic twists by: -4 8 -3 5 |