Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288g |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.4910995130274E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-992775,-543338858] |
[a1,a2,a3,a4,a6] |
Generators |
[535783945270:37687255998111:103823000] |
Generators of the group modulo torsion |
j |
-579840725763250000/347816974935027 |
j-invariant |
L |
5.3540057540678 |
L(r)(E,1)/r! |
Ω |
0.073604632250208 |
Real period |
R |
18.185016317842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144j2 18096k2 |
Quadratic twists by: -4 -3 |