Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6188a |
Isogeny class |
Conductor |
6188 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-24752 = -1 · 24 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 4 7+ -3 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-16384/1547 |
j-invariant |
L |
5.4619461454925 |
L(r)(E,1)/r! |
Ω |
1.6717163836728 |
Real period |
R |
1.0890894729189 |
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 |
24752bb1 99008q1 55692n1 43316p1 |
Quadratic twists by: -4 8 -3 -7 |