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 |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
2304960 = 26 · 3 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [11:28:1] |
Generators of the group modulo torsion |
j |
82881856/36015 |
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 |
6720cc1 3360w2 20160eu1 33600gx1 |
Quadratic twists by: -4 8 -3 5 |