Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cl |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.5987876012E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2513333,1649052963] |
[a1,a2,a3,a4,a6] |
Generators |
[-412454:18579009:343] |
Generators of the group modulo torsion |
j |
-43894892953600/3996969003 |
j-invariant |
L |
6.6581580029696 |
L(r)(E,1)/r! |
Ω |
0.17785417978364 |
Real period |
R |
6.23934170029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1725c2 110400fq2 82800ec2 27600cd2 |
Quadratic twists by: -4 8 -3 5 |