Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19665l |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-1.455624303346E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 4 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,534012,-105520037] |
[a1,a2,a3,a4,a6] |
Generators |
[28322:1718717:8] |
Generators of the group modulo torsion |
j |
23101981558964486144/19967411568531915 |
j-invariant |
L |
3.8996403305979 |
L(r)(E,1)/r! |
Ω |
0.12239748791493 |
Real period |
R |
1.1378735897482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6555d1 98325w1 |
Quadratic twists by: -3 5 |