Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cj |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5.6735374251351E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2109659,-278218677] |
[a1,a2,a3,a4,a6] |
Generators |
[7367:615966:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
8.5479456130635 |
L(r)(E,1)/r! |
Ω |
0.1337716055833 |
Real period |
R |
5.3249626330089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11154i2 2574m2 |
Quadratic twists by: -3 13 |