Atkin-Lehner |
2+ 7+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198b |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-974536472 = -1 · 23 · 7 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 3 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,201,-947] |
[a1,a2,a3,a4,a6] |
j |
891110287367/974536472 |
j-invariant |
L |
1.6910372763118 |
L(r)(E,1)/r! |
Ω |
0.8455186381559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584p1 113386i1 |
Quadratic twists by: -4 -7 |