Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566m |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
104085813432761216 = 27 · 79 · 674 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-202077,31312945] |
[a1,a2,a3,a4,a6] |
Generators |
[102:3379:1] |
Generators of the group modulo torsion |
j |
22614768361639/2579343488 |
j-invariant |
L |
4.6152221829413 |
L(r)(E,1)/r! |
Ω |
0.32446674629006 |
Real period |
R |
2.032003162865 |
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 |
52528br2 59094y2 6566l2 |
Quadratic twists by: -4 -3 -7 |