Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bs |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-141120 = -1 · 26 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-18] |
[a1,a2,a3,a4,a6] |
j |
-64/2205 |
j-invariant |
L |
1.4917508081962 |
L(r)(E,1)/r! |
Ω |
1.4917508081962 |
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 |
6720ch1 3360j2 20160ec1 33600gd1 |
Quadratic twists by: -4 8 -3 5 |