Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290a |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.3860816955566E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2656325,-1634952189] |
[a1,a2,a3,a4,a6] |
Generators |
[-184998:818773:216] |
Generators of the group modulo torsion |
j |
2072847886400813989295529/43860816955566406250 |
j-invariant |
L |
2.4182501637152 |
L(r)(E,1)/r! |
Ω |
0.11840993814288 |
Real period |
R |
10.211347973162 |
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 |
86450bi4 121030s4 |
Quadratic twists by: 5 -7 |