Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6708g |
Isogeny class |
Conductor |
6708 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12205769472 = 28 · 38 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 0 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-580,644] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:78:1] |
Generators of the group modulo torsion |
j |
84433792336/47678787 |
j-invariant |
L |
3.7980931512813 |
L(r)(E,1)/r! |
Ω |
1.092391508215 |
Real period |
R |
0.28973839527914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26832n2 107328o2 20124c2 87204m2 |
Quadratic twists by: -4 8 -3 13 |