Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11220k |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
74159712000 = 28 · 36 · 53 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7180,231428] |
[a1,a2,a3,a4,a6] |
j |
159925443894736/289686375 |
j-invariant |
L |
3.2740537519002 |
L(r)(E,1)/r! |
Ω |
1.0913512506334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880bx2 33660d2 56100g2 123420bg2 |
Quadratic twists by: -4 -3 5 -11 |