Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886bu |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
730545355674288 = 24 · 33 · 73 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1941573928,-32929197342832] |
[a1,a2,a3,a4,a6] |
j |
3776104682692733708238625/3408048 |
j-invariant |
L |
7.3689578533936 |
L(r)(E,1)/r! |
Ω |
0.022743697571098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886o2 |
Quadratic twists by: -11 |