Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642w |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38457046188 = 22 · 34 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-172972,-27703708] |
[a1,a2,a3,a4,a6] |
j |
323068919441113/21708 |
j-invariant |
L |
7.4912720649459 |
L(r)(E,1)/r! |
Ω |
0.23410225204835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
402b3 |
Quadratic twists by: -11 |