Atkin-Lehner |
2- 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550cp |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-9932835937500 = -1 · 22 · 33 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,862,151392] |
[a1,a2,a3,a4,a6] |
j |
36264691/5085612 |
j-invariant |
L |
6.6979879139189 |
L(r)(E,1)/r! |
Ω |
0.55816565949355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650cg1 32550q1 |
Quadratic twists by: -3 5 |