Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325w |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6006226614609375 = 37 · 57 · 74 · 114 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45792,-556259] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1613:1] |
Generators of the group modulo torsion |
j |
932288503609/527295615 |
j-invariant |
L |
5.824234021941 |
L(r)(E,1)/r! |
Ω |
0.3518824773281 |
Real period |
R |
1.0344778436691 |
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 |
5775i4 3465n3 121275df3 |
Quadratic twists by: -3 5 -7 |