Atkin-Lehner |
2- 3- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47472m |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-132306812534784 = -1 · 220 · 3 · 232 · 433 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 -5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79136,8560116] |
[a1,a2,a3,a4,a6] |
j |
-13381091368208929/32301467904 |
j-invariant |
L |
2.343818779998 |
L(r)(E,1)/r! |
Ω |
0.5859546950688 |
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 |
5934f1 |
Quadratic twists by: -4 |