Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16168c |
Isogeny class |
Conductor |
16168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4488 |
Modular degree for the optimal curve |
Δ |
32336 = 24 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-674,-6735] |
[a1,a2,a3,a4,a6] |
j |
2116330149888/2021 |
j-invariant |
L |
4.2164515971992 |
L(r)(E,1)/r! |
Ω |
0.93698924382204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32336d1 129344c1 |
Quadratic twists by: -4 8 |