Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984df |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
169872114843648 = 220 · 34 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26672,1546068] |
[a1,a2,a3,a4,a6] |
j |
4354703137/352512 |
j-invariant |
L |
4.4741255055444 |
L(r)(E,1)/r! |
Ω |
0.55926568820223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998bd1 119952gt1 816h1 |
Quadratic twists by: -4 -3 -7 |