Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890g |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52851807450 = 2 · 314 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-530415,148819275] |
[a1,a2,a3,a4,a6] |
Generators |
[421:-201:1] |
Generators of the group modulo torsion |
j |
22638311752145721841/72499050 |
j-invariant |
L |
3.4930483168878 |
L(r)(E,1)/r! |
Ω |
0.74519840178858 |
Real period |
R |
2.3437035751177 |
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 |
6630ba3 99450cp4 |
Quadratic twists by: -3 5 |