Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449z |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.5349630468122E+20 |
Discriminant |
Eigenvalues |
0 3- -1 7- -5 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-679728,-795816338] |
[a1,a2,a3,a4,a6] |
Generators |
[2564926:2993953:2197] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
3.9883946462421 |
L(r)(E,1)/r! |
Ω |
0.073609584640185 |
Real period |
R |
6.7728862904257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996816127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483g1 18207a1 7497l1 |
Quadratic twists by: -3 -7 17 |