Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51168k |
Isogeny class |
Conductor |
51168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
13254456384 = 26 · 36 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-794,-6336] |
[a1,a2,a3,a4,a6] |
j |
866068216768/207100881 |
j-invariant |
L |
0.91489446313979 |
L(r)(E,1)/r! |
Ω |
0.91489446332287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51168f1 102336bf2 |
Quadratic twists by: -4 8 |