Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
32320k |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-82739200 = -1 · 215 · 52 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 2 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-225] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
2863288/2525 |
j-invariant |
L |
4.4062379027876 |
L(r)(E,1)/r! |
Ω |
1.0569671974028 |
Real period |
R |
1.0421888951744 |
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 |
32320j1 16160b1 |
Quadratic twists by: -4 8 |