Atkin-Lehner |
11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2057c |
Isogeny class |
Conductor |
2057 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30116537 = 116 · 17 |
Discriminant |
Eigenvalues |
1 0 -2 -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10973,445176] |
[a1,a2,a3,a4,a6] |
j |
82483294977/17 |
j-invariant |
L |
0.827871493355 |
L(r)(E,1)/r! |
Ω |
1.65574298671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32912t4 18513q3 51425u4 100793m4 |
Quadratic twists by: -4 -3 5 -7 |