Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834g |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-3631867794 = -1 · 2 · 313 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -4 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-392,-4192] |
[a1,a2,a3,a4,a6] |
Generators |
[54:337:1] |
Generators of the group modulo torsion |
j |
-6637252523257/3631867794 |
j-invariant |
L |
4.3905800105791 |
L(r)(E,1)/r! |
Ω |
0.52329447181771 |
Real period |
R |
0.64540510569039 |
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 |
54672n1 20502bi1 116178j1 |
Quadratic twists by: -4 -3 17 |