Atkin-Lehner |
2+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832i |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6518302834688 = 221 · 412 · 432 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5049057,-4365119647] |
[a1,a2,a3,a4,a6] |
j |
54301858899649619257/24865352 |
j-invariant |
L |
3.222901271221 |
L(r)(E,1)/r! |
Ω |
0.10071565445136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832v2 3526a2 |
Quadratic twists by: -4 8 |