Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894n |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-272938248 = -1 · 23 · 34 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79,833] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:35:1] |
Generators of the group modulo torsion |
j |
-54569318257/272938248 |
j-invariant |
L |
5.2872818143302 |
L(r)(E,1)/r! |
Ω |
1.5091043321586 |
Real period |
R |
0.29196577630296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31152t2 124608t2 11682j2 97350c2 |
Quadratic twists by: -4 8 -3 5 |