Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83952k |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9268171849728 = 214 · 36 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163179,-25370982] |
[a1,a2,a3,a4,a6] |
Generators |
[1163439:44814770:729] |
Generators of the group modulo torsion |
j |
160927045436457/3103892 |
j-invariant |
L |
8.3756253470824 |
L(r)(E,1)/r! |
Ω |
0.23753848947757 |
Real period |
R |
8.8150191590999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10494e4 9328m4 |
Quadratic twists by: -4 -3 |