Atkin-Lehner |
2- 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16218m |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
6227712 = 28 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296,2027] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
105890949891/230656 |
j-invariant |
L |
7.1761051952882 |
L(r)(E,1)/r! |
Ω |
2.3888652235788 |
Real period |
R |
0.18774879816518 |
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 |
129744o1 16218a1 |
Quadratic twists by: -4 -3 |