Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bn |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-463753838592 = -1 · 217 · 34 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2337,55233] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:304:1] |
Generators of the group modulo torsion |
j |
-10773969554/3538161 |
j-invariant |
L |
5.7987766428529 |
L(r)(E,1)/r! |
Ω |
0.88421165974911 |
Real period |
R |
0.81976648053094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128u2 10032e2 120384cs2 |
Quadratic twists by: -4 8 -3 |