Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8228c |
Isogeny class |
Conductor |
8228 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
16850322917648 = 24 · 118 · 173 |
Discriminant |
Eigenvalues |
2- -2 0 2 11- 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28838,-1884203] |
[a1,a2,a3,a4,a6] |
Generators |
[20883:565775:27] |
Generators of the group modulo torsion |
j |
773344000/4913 |
j-invariant |
L |
3.2866547539457 |
L(r)(E,1)/r! |
Ω |
0.36649936594239 |
Real period |
R |
8.9676956070433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32912w2 74052p2 8228d2 |
Quadratic twists by: -4 -3 -11 |