Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566n |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
220709524 = 22 · 77 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17218552,27493481637] |
[a1,a2,a3,a4,a6] |
Generators |
[2393:-1001:1] [6257:402787:1] |
Generators of the group modulo torsion |
j |
4798719371068773390577/1876 |
j-invariant |
L |
5.4252339855905 |
L(r)(E,1)/r! |
Ω |
0.49996578914565 |
Real period |
R |
1.3564013036927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528bb3 59094bc3 938d3 |
Quadratic twists by: -4 -3 -7 |