Atkin-Lehner |
2+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
17110b |
Isogeny class |
Conductor |
17110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56151321502400 = 26 · 52 · 296 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22679,1269853] |
[a1,a2,a3,a4,a6] |
Generators |
[102:49:1] |
Generators of the group modulo torsion |
j |
1290048941609145801/56151321502400 |
j-invariant |
L |
3.2858607248742 |
L(r)(E,1)/r! |
Ω |
0.62138750028967 |
Real period |
R |
2.6439707294905 |
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 |
85550r2 |
Quadratic twists by: 5 |