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 |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-13884750000 = -1 · 24 · 33 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305,5928] |
[a1,a2,a3,a4,a6] |
j |
-196755275776/867796875 |
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 |
44880bx1 33660d1 56100g1 123420bg1 |
Quadratic twists by: -4 -3 5 -11 |