Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bg |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
90672479600640 = 220 · 3 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23681,-1317855] |
[a1,a2,a3,a4,a6] |
j |
5602762882081/345888060 |
j-invariant |
L |
1.5453737168316 |
L(r)(E,1)/r! |
Ω |
0.38634342920791 |
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 |
6720u4 1680t3 20160ev4 33600gt3 |
Quadratic twists by: -4 8 -3 5 |