Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bu |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1750132998144 = -1 · 214 · 313 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 3 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3012,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[14:216:1] |
Generators of the group modulo torsion |
j |
253012016/146529 |
j-invariant |
L |
6.6286264778983 |
L(r)(E,1)/r! |
Ω |
0.50232862609199 |
Real period |
R |
1.6494746002897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592x1 9648o1 12864bh1 |
Quadratic twists by: -4 8 -3 |