Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32208k |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.5149551047689E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3234296,-2103706512] |
[a1,a2,a3,a4,a6] |
Generators |
[4588844:34642080:2197] |
Generators of the group modulo torsion |
j |
913488720932053621369/61400271112522848 |
j-invariant |
L |
5.9395015976762 |
L(r)(E,1)/r! |
Ω |
0.11305395326284 |
Real period |
R |
4.3780730543961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4026b2 128832bl2 96624bj2 |
Quadratic twists by: -4 8 -3 |