Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bd |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
53805565466711289 = 310 · 76 · 114 · 232 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164943,-23202320] |
[a1,a2,a3,a4,a6] |
j |
5786435182177/627352209 |
j-invariant |
L |
0.9542624844627 |
L(r)(E,1)/r! |
Ω |
0.23856558279899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37191b2 2277b2 |
Quadratic twists by: -3 -7 |