Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bn |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-184396800 = -1 · 210 · 3 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,637] |
[a1,a2,a3,a4,a6] |
Generators |
[9:40:1] |
Generators of the group modulo torsion |
j |
4499456/180075 |
j-invariant |
L |
3.6784986895124 |
L(r)(E,1)/r! |
Ω |
1.3607205492416 |
Real period |
R |
1.3516730865726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720bc1 1680e1 20160do1 33600gk1 |
Quadratic twists by: -4 8 -3 5 |