Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bk |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6146097836032 = -1 · 212 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2743,104777] |
[a1,a2,a3,a4,a6] |
Generators |
[18291:477224:27] |
Generators of the group modulo torsion |
j |
314432/847 |
j-invariant |
L |
11.276780747352 |
L(r)(E,1)/r! |
Ω |
0.52930303471705 |
Real period |
R |
5.3262403612558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208r2 27104i1 4928d2 |
Quadratic twists by: -4 8 -11 |