Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17052q |
Isogeny class |
Conductor |
17052 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
558944370432 = 28 · 32 · 73 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5924,169812] |
[a1,a2,a3,a4,a6] |
Generators |
[27:174:1] |
Generators of the group modulo torsion |
j |
261883469104/6365529 |
j-invariant |
L |
5.0487879276796 |
L(r)(E,1)/r! |
Ω |
0.91996357399427 |
Real period |
R |
1.3720075637775 |
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 |
68208by2 51156o2 17052e2 |
Quadratic twists by: -4 -3 -7 |