Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19040k |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
104491520 = 29 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-923,-10782] |
[a1,a2,a3,a4,a6] |
Generators |
[306:795:8] |
Generators of the group modulo torsion |
j |
169847380872/204085 |
j-invariant |
L |
4.6843906401068 |
L(r)(E,1)/r! |
Ω |
0.86622450119457 |
Real period |
R |
5.4078251465374 |
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 |
19040h3 38080bo4 95200d4 |
Quadratic twists by: -4 8 5 |