Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13728i |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8566272 = 29 · 32 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,-420] |
[a1,a2,a3,a4,a6] |
j |
245314376/16731 |
j-invariant |
L |
1.5002136049804 |
L(r)(E,1)/r! |
Ω |
1.5002136049804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13728d2 27456o2 41184p2 |
Quadratic twists by: -4 8 -3 |