Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720bj |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45158400 = 212 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,1881] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:60:1] [-5:56:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
4.286836553927 |
L(r)(E,1)/r! |
Ω |
2.0231806642046 |
Real period |
R |
1.0594299930233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6720cc2 3360w1 20160eu2 33600gx2 |
Quadratic twists by: -4 8 -3 5 |