Atkin-Lehner |
7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4067a |
Isogeny class |
Conductor |
4067 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1092 |
Modular degree for the optimal curve |
Δ |
-478478483 = -1 · 78 · 83 |
Discriminant |
Eigenvalues |
0 1 0 7+ 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1143,14536] |
[a1,a2,a3,a4,a6] |
Generators |
[6916:3149:343] |
Generators of the group modulo torsion |
j |
-28672000/83 |
j-invariant |
L |
3.4710839740625 |
L(r)(E,1)/r! |
Ω |
1.6663752711006 |
Real period |
R |
6.2490437194917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65072m1 36603c1 101675d1 4067b1 |
Quadratic twists by: -4 -3 5 -7 |