Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cm |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
106662334464000 = 215 · 312 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262305,51618303] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:9720:1] |
Generators of the group modulo torsion |
j |
60910917333827912/3255076125 |
j-invariant |
L |
5.1175270297231 |
L(r)(E,1)/r! |
Ω |
0.56220645586838 |
Real period |
R |
0.50569867037137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720bp3 3360e3 20160ef3 33600ep4 |
Quadratic twists by: -4 8 -3 5 |