Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109a |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-132327 = -1 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3+ 0 3 3 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12,27] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-43875/29 |
j-invariant |
L |
8.3054314355938 |
L(r)(E,1)/r! |
Ω |
3.0345599867412 |
Real period |
R |
1.3684737609247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109i1 44109c1 |
Quadratic twists by: -3 13 |