Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432z |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
360233422848 = 212 · 34 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5790777,5361633063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2718:32079:1] |
Generators of the group modulo torsion |
j |
5242933647830934578368/87947613 |
j-invariant |
L |
9.1680832562595 |
L(r)(E,1)/r! |
Ω |
0.49130797107878 |
Real period |
R |
4.6651407039676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432f2 21216i1 127296bp2 |
Quadratic twists by: -4 8 -3 |