Atkin-Lehner |
2+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16168d |
Isogeny class |
Conductor |
16168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -3 4 2 -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[10:24:1] |
Generators of the group modulo torsion |
j |
3650692/2021 |
j-invariant |
L |
6.3094332497679 |
L(r)(E,1)/r! |
Ω |
2.1445651814774 |
Real period |
R |
1.4710285572718 |
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 |
32336b1 129344m1 |
Quadratic twists by: -4 8 |