Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890s |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-484632369561600 = -1 · 218 · 39 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20927,1579879] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1366:1] |
Generators of the group modulo torsion |
j |
-51491303564427/24621875200 |
j-invariant |
L |
8.3083586592864 |
L(r)(E,1)/r! |
Ω |
0.48949952237062 |
Real period |
R |
0.47147694734827 |
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 |
19890a1 99450e1 |
Quadratic twists by: -3 5 |