Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cl |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-5510648282878771200 = -1 · 216 · 35 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,361535,75984575] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8820:1] |
Generators of the group modulo torsion |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
5.1944694421425 |
L(r)(E,1)/r! |
Ω |
0.15944175753166 |
Real period |
R |
0.54298505010637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720i4 1680b4 20160ea4 33600ee3 |
Quadratic twists by: -4 8 -3 5 |