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 |
679760363520 = 221 · 33 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368705,-86295105] |
[a1,a2,a3,a4,a6] |
j |
21145699168383889/2593080 |
j-invariant |
L |
2.3249357146615 |
L(r)(E,1)/r! |
Ω |
0.19374464288846 |
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 |
6720l4 1680k4 20160dr4 33600ex5 |
Quadratic twists by: -4 8 -3 5 |