Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cj |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.7016054935928E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8172301,-2198888805] |
[a1,a2,a3,a4,a6] |
Generators |
[110825225:9980567298:15625] |
Generators of the group modulo torsion |
j |
17154149157653327/10519679024712 |
j-invariant |
L |
8.5479456130635 |
L(r)(E,1)/r! |
Ω |
0.066885802791648 |
Real period |
R |
10.649925266018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154i4 2574m4 |
Quadratic twists by: -3 13 |