Atkin-Lehner |
3- 7- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557p |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2955080961 = 38 · 7 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666,-5913] |
[a1,a2,a3,a4,a6] |
j |
44852393377/4053609 |
j-invariant |
L |
3.7806203948066 |
L(r)(E,1)/r! |
Ω |
0.94515510434512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519i1 |
Quadratic twists by: -3 |