Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bb |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
58525286400 = 216 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1345,-15457] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:63:1] |
Generators of the group modulo torsion |
j |
4108974916/893025 |
j-invariant |
L |
4.894495096368 |
L(r)(E,1)/r! |
Ω |
0.80047932298313 |
Real period |
R |
1.0190758952873 |
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 |
6720bt2 840a2 20160bd2 33600bd2 |
Quadratic twists by: -4 8 -3 5 |