Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160a |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17720934400 = 222 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5548,-158928] |
[a1,a2,a3,a4,a6] |
Generators |
[6456:518700:1] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
3.3187404727972 |
L(r)(E,1)/r! |
Ω |
0.55320985317642 |
Real period |
R |
5.9990624782652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4160j2 130b2 37440by2 20800t2 |
Quadratic twists by: -4 8 -3 5 |