Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109r |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-96466383 = -1 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 -3 3 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-8397] |
[a1,a2,a3,a4,a6] |
j |
-446265625/783 |
j-invariant |
L |
1.7996037310383 |
L(r)(E,1)/r! |
Ω |
0.44990093280723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14703j1 44109t1 |
Quadratic twists by: -3 13 |