Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cj |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-36440214069833728 = -1 · 212 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16295,-9143961] |
[a1,a2,a3,a4,a6] |
Generators |
[722:19481:1] |
Generators of the group modulo torsion |
j |
65939264/5021863 |
j-invariant |
L |
3.0379303689411 |
L(r)(E,1)/r! |
Ω |
0.17423635339263 |
Real period |
R |
4.3589215307782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208da1 27104o1 4928bj1 |
Quadratic twists by: -4 8 -11 |