Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gx |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
2.8803248501576E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13844480,19829056547] |
[a1,a2,a3,a4,a6] |
Generators |
[-2571:197305:1] |
Generators of the group modulo torsion |
j |
3004724101225/294912 |
j-invariant |
L |
9.0963717500315 |
L(r)(E,1)/r! |
Ω |
0.20101008686358 |
Real period |
R |
1.508443662702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18150bo2 54450bs2 54450cw2 |
Quadratic twists by: -3 5 -11 |