Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cb |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.5044883375879E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1407971,-615014045] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:4018:1] |
Generators of the group modulo torsion |
j |
3249025693731/158357056 |
j-invariant |
L |
8.1971029486766 |
L(r)(E,1)/r! |
Ω |
0.13901520551269 |
Real period |
R |
1.2284481936175 |
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 |
33462g2 2574a2 |
Quadratic twists by: -3 13 |