Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626r |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
49989544956 = 22 · 39 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1406,-16847] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:65:1] |
Generators of the group modulo torsion |
j |
54000891/8788 |
j-invariant |
L |
13.372892901234 |
L(r)(E,1)/r! |
Ω |
0.78829367404599 |
Real period |
R |
1.4136961623369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67626b1 67626s2 |
Quadratic twists by: -3 17 |