Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144u |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
6.0434374776462E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1226631,365418250] |
[a1,a2,a3,a4,a6] |
Generators |
[963:8788:1] |
Generators of the group modulo torsion |
j |
1093699533958754128/323829597353301 |
j-invariant |
L |
3.6316012990004 |
L(r)(E,1)/r! |
Ω |
0.18319854889954 |
Real period |
R |
0.99116541064735 |
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 |
54288r2 9048j2 |
Quadratic twists by: -4 -3 |