Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872o |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-13872 = -1 · 24 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 -2 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,12] |
[a1,a2,a3,a4,a6] |
j |
-34816/3 |
j-invariant |
L |
3.8819741255422 |
L(r)(E,1)/r! |
Ω |
3.8819741255422 |
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 |
6936i1 55488da1 41616bc1 13872h1 |
Quadratic twists by: -4 8 -3 17 |