Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
51168p |
Isogeny class |
Conductor |
51168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-56424795648 = -1 · 29 · 3 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,11400] |
[a1,a2,a3,a4,a6] |
j |
-649461896/110204679 |
j-invariant |
L |
1.8242553096393 |
L(r)(E,1)/r! |
Ω |
0.91212765532737 |
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 |
51168l2 102336bx3 |
Quadratic twists by: -4 8 |