Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720cj |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
16464000000 = 210 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1205,14475] |
[a1,a2,a3,a4,a6] |
j |
189123395584/16078125 |
j-invariant |
L |
3.6195869974124 |
L(r)(E,1)/r! |
Ω |
1.2065289991375 |
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 |
6720o3 1680l3 20160dy3 33600ff3 |
Quadratic twists by: -4 8 -3 5 |