Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566d |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1961038,1057495620] |
[a1,a2,a3,a4,a6] |
Generators |
[37:31366:1] |
Generators of the group modulo torsion |
j |
20668050043604991/1072 |
j-invariant |
L |
2.4287175803619 |
L(r)(E,1)/r! |
Ω |
0.62112476348186 |
Real period |
R |
3.9101928036924 |
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 |
52528y2 59094cb2 6566c2 |
Quadratic twists by: -4 -3 -7 |