Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032w |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-56925496541184 = -1 · 233 · 3 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9416,86896] |
[a1,a2,a3,a4,a6] |
Generators |
[-76570:7457934:29791] |
Generators of the group modulo torsion |
j |
10202844647/6291456 |
j-invariant |
L |
8.3554851636045 |
L(r)(E,1)/r! |
Ω |
0.38720773504199 |
Real period |
R |
10.789408917747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13254a2 106032ba2 |
Quadratic twists by: -4 -47 |