Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350ci |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
19942459507800 = 23 · 35 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 1 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12433,-493609] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
5.4580971252961 |
L(r)(E,1)/r! |
Ω |
0.4548414270872 |
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 |
43350bt1 2550bb1 |
Quadratic twists by: 5 17 |