Atkin-Lehner |
2- 3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558bk |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-5.9027426072015E+29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2062734288,51639186081024] |
[a1,a2,a3,a4,a6] |
j |
-970629698555065482913523320890625/590274260720148699041078688768 |
j-invariant |
L |
3.223747799885 |
L(r)(E,1)/r! |
Ω |
0.026864564999072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674z3 |
Quadratic twists by: -3 |