Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cd |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-243524645683200 = -1 · 234 · 34 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13439,-447361] |
[a1,a2,a3,a4,a6] |
j |
1023887723039/928972800 |
j-invariant |
L |
2.4375547559333 |
L(r)(E,1)/r! |
Ω |
0.30469434449167 |
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 |
6720c1 1680p1 20160ff1 33600eq1 |
Quadratic twists by: -4 8 -3 5 |