Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32193f |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-457047658809 = -1 · 36 · 76 · 732 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1681,-19232] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1087:8] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
4.3594399783976 |
L(r)(E,1)/r! |
Ω |
0.51615534405383 |
Real period |
R |
4.2229921947135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3577a2 657d2 |
Quadratic twists by: -3 -7 |