Atkin-Lehner |
2+ 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112a |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
874060734437376 = 211 · 3 · 236 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118952,15766380] |
[a1,a2,a3,a4,a6] |
Generators |
[71995:15520:343] |
Generators of the group modulo torsion |
j |
90889278553909586/426787467987 |
j-invariant |
L |
4.3245126920829 |
L(r)(E,1)/r! |
Ω |
0.50197206882341 |
Real period |
R |
8.6150464551132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224n2 51336r2 |
Quadratic twists by: -4 -3 |