Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9996j |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
9059414784 = 28 · 3 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6092,-185004] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:6:1] |
Generators of the group modulo torsion |
j |
40685771728/14739 |
j-invariant |
L |
4.1888871924206 |
L(r)(E,1)/r! |
Ω |
0.54039719030937 |
Real period |
R |
2.5838323289718 |
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 |
39984bh2 29988w2 9996h2 |
Quadratic twists by: -4 -3 -7 |