Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16268c |
Isogeny class |
Conductor |
16268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58464 |
Modular degree for the optimal curve |
Δ |
4377404421745936 = 24 · 78 · 834 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 5 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42646,1150981] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734:4067:8] |
Generators of the group modulo torsion |
j |
92996049664/47458321 |
j-invariant |
L |
5.7200201609625 |
L(r)(E,1)/r! |
Ω |
0.38541258891545 |
Real period |
R |
1.2367742010924 |
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 |
65072j1 16268e1 |
Quadratic twists by: -4 -7 |