Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
16160a |
Isogeny class |
Conductor |
16160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1292800 = -1 · 29 · 52 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 2 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,40] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
2863288/2525 |
j-invariant |
L |
3.0146351158276 |
L(r)(E,1)/r! |
Ω |
1.76979682717 |
Real period |
R |
0.42584480172341 |
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 |
16160b1 32320j1 80800g1 |
Quadratic twists by: -4 8 5 |