Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450hh |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
-5.9584901950734E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33027215,73065225687] |
[a1,a2,a3,a4,a6] |
Generators |
[3699:36870:1] |
Generators of the group modulo torsion |
j |
-24680042791780949/369098752 |
j-invariant |
L |
8.2329836092253 |
L(r)(E,1)/r! |
Ω |
0.18059798369985 |
Real period |
R |
0.45587350647611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050n3 54450dj3 4950t3 |
Quadratic twists by: -3 5 -11 |