Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852a |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
95744424568464 = 24 · 36 · 74 · 434 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16317,649593] |
[a1,a2,a3,a4,a6] |
j |
17155563264/3418801 |
j-invariant |
L |
2.276494524334 |
L(r)(E,1)/r! |
Ω |
0.56912363926414 |
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 |
8428a1 75852l1 |
Quadratic twists by: -3 -7 |