Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720ci |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-28689339248640000 = -1 · 215 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69665,-10816737] |
[a1,a2,a3,a4,a6] |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
2.8442733042249 |
L(r)(E,1)/r! |
Ω |
0.14221366521125 |
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 |
6720bu4 3360c4 20160dw4 33600fd3 |
Quadratic twists by: -4 8 -3 5 |