Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bi |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
374984769600000000 = 212 · 314 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25515001,-49598319815] |
[a1,a2,a3,a4,a6] |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
1.2091304721268 |
L(r)(E,1)/r! |
Ω |
0.067173915118158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720cb2 3360x1 20160et2 33600gy2 |
Quadratic twists by: -4 8 -3 5 |