Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16168b |
Isogeny class |
Conductor |
16168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
32336 = 24 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -1 -2 -2 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7838,267089] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:651:1] [49:26:1] |
Generators of the group modulo torsion |
j |
3328277330110464/2021 |
j-invariant |
L |
6.1994120754901 |
L(r)(E,1)/r! |
Ω |
2.2716232526556 |
Real period |
R |
1.3645335044541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32336c1 129344b1 |
Quadratic twists by: -4 8 |