Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698r |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6077524767614E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-433143340,-1920385407382] |
[a1,a2,a3,a4,a6] |
Generators |
[-20120846743356154996459924239:-2548253996503038778051818589561:2575125216158977223661681] |
Generators of the group modulo torsion |
j |
5072972674420068408718993/2036482219218784389888 |
j-invariant |
L |
4.5224094264569 |
L(r)(E,1)/r! |
Ω |
0.034264679918842 |
Real period |
R |
32.99614528115 |
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 |
50094cj3 1518s3 |
Quadratic twists by: -3 -11 |