Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16184a |
Isogeny class |
Conductor |
16184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-173018094592 = -1 · 210 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,-20048] |
[a1,a2,a3,a4,a6] |
Generators |
[414276:1601120:12167] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
4.238428478668 |
L(r)(E,1)/r! |
Ω |
0.4598568175036 |
Real period |
R |
9.2168438464757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32368e1 129472k1 113288l1 56b1 |
Quadratic twists by: -4 8 -7 17 |