Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5538j |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30669444 = 22 · 32 · 132 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79,-79] |
[a1,a2,a3,a4,a6] |
j |
54569318257/30669444 |
j-invariant |
L |
1.7226579662248 |
L(r)(E,1)/r! |
Ω |
1.7226579662248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44304m2 16614j2 71994k2 |
Quadratic twists by: -4 -3 13 |