Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314p |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.3741738276662E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4067982,-4216062636] |
[a1,a2,a3,a4,a6] |
Generators |
[3242952:240750801:512] |
Generators of the group modulo torsion |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
4.7615529895822 |
L(r)(E,1)/r! |
Ω |
0.052014519195314 |
Real period |
R |
11.442845822775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438z3 2574x3 |
Quadratic twists by: -3 -11 |