Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11220k |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10444415031600 = -1 · 24 · 3 · 52 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2695,-144972] |
[a1,a2,a3,a4,a6] |
j |
135244271796224/652775939475 |
j-invariant |
L |
3.2740537519002 |
L(r)(E,1)/r! |
Ω |
0.36378375021113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880bx3 33660d3 56100g3 123420bg3 |
Quadratic twists by: -4 -3 5 -11 |