Atkin-Lehner |
3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685f |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
144247125 = 3 · 53 · 113 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-555,-4819] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:5:1] |
Generators of the group modulo torsion |
j |
65537081344/499125 |
j-invariant |
L |
4.8511917874966 |
L(r)(E,1)/r! |
Ω |
0.98392169317772 |
Real period |
R |
0.54782948019079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685k2 |
Quadratic twists by: 17 |