Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698t |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2065618768060584 = 23 · 32 · 119 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 7 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-581650,170679452] |
[a1,a2,a3,a4,a6] |
Generators |
[384:1804:1] |
Generators of the group modulo torsion |
j |
12284337086925553/1165987944 |
j-invariant |
L |
3.9044550674632 |
L(r)(E,1)/r! |
Ω |
0.44490993761317 |
Real period |
R |
1.0969790561461 |
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 |
50094cl2 1518p2 |
Quadratic twists by: -3 -11 |