Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776bf |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
849228599296 = 212 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19204,-1023360] |
[a1,a2,a3,a4,a6] |
j |
191222440244928/207331201 |
j-invariant |
L |
3.2446651731679 |
L(r)(E,1)/r! |
Ω |
0.40558314875975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83776w2 41888h1 |
Quadratic twists by: -4 8 |