Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cj |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7346368512 = -1 · 212 · 32 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,247,-3927] |
[a1,a2,a3,a4,a6] |
Generators |
[32:189:1] |
Generators of the group modulo torsion |
j |
405224000/1793547 |
j-invariant |
L |
4.6953092203572 |
L(r)(E,1)/r! |
Ω |
0.66805375207434 |
Real period |
R |
1.7570851231444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cy2 55776j1 |
Quadratic twists by: -4 8 |