Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51168k |
Isogeny class |
Conductor |
51168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16187917824 = 29 · 33 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11864,-493416] |
[a1,a2,a3,a4,a6] |
j |
360731253382856/31617027 |
j-invariant |
L |
0.91489446313979 |
L(r)(E,1)/r! |
Ω |
0.45744723166144 |
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 |
51168f4 102336bf4 |
Quadratic twists by: -4 8 |