Atkin-Lehner |
3+ 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16107b |
Isogeny class |
Conductor |
16107 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-351238535739 = -1 · 38 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ -2 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20371,1126275] |
[a1,a2,a3,a4,a6] |
Generators |
[57:383:1] [85:40:1] |
Generators of the group modulo torsion |
j |
-934936419326132224/351238535739 |
j-invariant |
L |
4.7698039210542 |
L(r)(E,1)/r! |
Ω |
0.94094496024165 |
Real period |
R |
0.42243029813963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48321i1 112749p1 |
Quadratic twists by: -3 -7 |