Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550bn |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-5421937500 = -1 · 22 · 36 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,408,-1684] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-122:1] |
Generators of the group modulo torsion |
j |
658503/476 |
j-invariant |
L |
4.7014329098918 |
L(r)(E,1)/r! |
Ω |
0.76233577609329 |
Real period |
R |
0.77089273803189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950p1 2142p1 |
Quadratic twists by: -3 5 |