Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bj |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3440640 = 215 · 3 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4481,116961] |
[a1,a2,a3,a4,a6] |
Generators |
[40:11:1] [55:184:1] |
Generators of the group modulo torsion |
j |
303735479048/105 |
j-invariant |
L |
4.286836553927 |
L(r)(E,1)/r! |
Ω |
2.0231806642046 |
Real period |
R |
4.2377199720931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6720cc3 3360w3 20160eu3 33600gx4 |
Quadratic twists by: -4 8 -3 5 |