Atkin-Lehner |
3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
17061b |
Isogeny class |
Conductor |
17061 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
105661212723 = 33 · 116 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17305,868894] |
[a1,a2,a3,a4,a6] |
Generators |
[50:338:1] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
3.368175491357 |
L(r)(E,1)/r! |
Ω |
1.0272748032222 |
Real period |
R |
1.6393741386395 |
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 |
51183c2 141b2 |
Quadratic twists by: -3 -11 |