Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456ch |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3.1345485752063E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5166177,-9644645601] |
[a1,a2,a3,a4,a6] |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
1.6919315255846 |
L(r)(E,1)/r! |
Ω |
0.046998097932909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27456e2 6864o2 82368du2 |
Quadratic twists by: -4 8 -3 |