Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720bs |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2150400 = 212 · 3 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-375] |
[a1,a2,a3,a4,a6] |
j |
31554496/525 |
j-invariant |
L |
1.4917508081962 |
L(r)(E,1)/r! |
Ω |
1.4917508081962 |
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 |
6720ch2 3360j1 20160ec2 33600gd2 |
Quadratic twists by: -4 8 -3 5 |