Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566j |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
384240583/1072 |
j-invariant |
L |
6.5433839665724 |
L(r)(E,1)/r! |
Ω |
1.4880741718711 |
Real period |
R |
0.54965203434255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52528bq1 59094r1 6566k1 |
Quadratic twists by: -4 -3 -7 |