Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286p |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-542812350564 = -1 · 22 · 34 · 112 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,668,-34762] |
[a1,a2,a3,a4,a6] |
Generators |
[499:10913:1] |
Generators of the group modulo torsion |
j |
273024721343/4486052484 |
j-invariant |
L |
7.001987435787 |
L(r)(E,1)/r! |
Ω |
0.4509318400275 |
Real period |
R |
0.97048861023125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286bp1 |
Quadratic twists by: -11 |