Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44506p |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-3415093667360606 = -1 · 2 · 7 · 112 · 1710 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1740,-2811922] |
[a1,a2,a3,a4,a6] |
j |
-289/1694 |
j-invariant |
L |
3.6467389296232 |
L(r)(E,1)/r! |
Ω |
0.202596607199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506z1 |
Quadratic twists by: 17 |