Atkin-Lehner |
2- 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
16068i |
Isogeny class |
Conductor |
16068 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40105728 = 28 · 32 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4948,-135628] |
[a1,a2,a3,a4,a6] |
j |
52343238418000/156663 |
j-invariant |
L |
2.2769048762775 |
L(r)(E,1)/r! |
Ω |
0.56922621906937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64272i2 48204f2 |
Quadratic twists by: -4 -3 |