Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044c |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
745930343215872 = 28 · 39 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71415,7227198] |
[a1,a2,a3,a4,a6] |
Generators |
[6486:488267:216] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
5.9386515756253 |
L(r)(E,1)/r! |
Ω |
0.50640866679361 |
Real period |
R |
5.8634971763286 |
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 |
76176bg4 19044c2 36a4 |
Quadratic twists by: -4 -3 -23 |