Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856y |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55279521792 = -1 · 212 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,-10816] |
[a1,a2,a3,a4,a6] |
j |
2744000/18513 |
j-invariant |
L |
4.4589528577362 |
L(r)(E,1)/r! |
Ω |
0.55736910720375 |
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 |
53856t2 107712dh1 17952c2 |
Quadratic twists by: -4 8 -3 |