Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208k |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-786700523012096 = -1 · 219 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 11- 7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23071,51071] |
[a1,a2,a3,a4,a6] |
j |
24167/14 |
j-invariant |
L |
1.8128019097081 |
L(r)(E,1)/r! |
Ω |
0.3021336518143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208cw1 1694a1 54208bh1 |
Quadratic twists by: -4 8 -11 |