Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034i |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44685108 = 22 · 34 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-258,-1584] |
[a1,a2,a3,a4,a6] |
j |
1899713166625/44685108 |
j-invariant |
L |
4.771644914837 |
L(r)(E,1)/r! |
Ω |
1.1929112287092 |
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 |
64272r2 24102k2 104442i2 |
Quadratic twists by: -4 -3 13 |