Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720cd |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13484225986560000 = 226 · 38 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68481,-4068225] |
[a1,a2,a3,a4,a6] |
j |
135487869158881/51438240000 |
j-invariant |
L |
2.4375547559333 |
L(r)(E,1)/r! |
Ω |
0.30469434449167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720c2 1680p2 20160ff2 33600eq2 |
Quadratic twists by: -4 8 -3 5 |