Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bi |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13408861356 = -1 · 22 · 32 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-129,5589] |
[a1,a2,a3,a4,a6] |
Generators |
[54:369:1] |
Generators of the group modulo torsion |
j |
-178453547/10074276 |
j-invariant |
L |
8.6847588206098 |
L(r)(E,1)/r! |
Ω |
1.0409603351013 |
Real period |
R |
2.0857564231217 |
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 |
50094k2 16698m2 |
Quadratic twists by: -3 -11 |