Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232cx |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-9607279804416 = -1 · 223 · 32 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5215,36831] |
[a1,a2,a3,a4,a6] |
j |
59822347031/36648864 |
j-invariant |
L |
3.5863660326671 |
L(r)(E,1)/r! |
Ω |
0.44829575331362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232r1 17808m1 |
Quadratic twists by: -4 8 |