Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472z |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7596186424967168 = 217 · 74 · 176 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68204,-5423952] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:1156:1] [-106:784:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
13.192297850947 |
L(r)(E,1)/r! |
Ω |
0.29996759704413 |
Real period |
R |
2.7486922717713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472bv3 16184d3 448a3 |
Quadratic twists by: -4 8 17 |