Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bg |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-49325015040 = -1 · 226 · 3 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,639,8481] |
[a1,a2,a3,a4,a6] |
j |
109902239/188160 |
j-invariant |
L |
1.5453737168316 |
L(r)(E,1)/r! |
Ω |
0.77268685841582 |
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 |
6720u1 1680t1 20160ev1 33600gt1 |
Quadratic twists by: -4 8 -3 5 |