Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168c |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-456704790227712 = -1 · 28 · 37 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17745,478946] |
[a1,a2,a3,a4,a6] |
j |
686000/507 |
j-invariant |
L |
2.690059941833 |
L(r)(E,1)/r! |
Ω |
0.33625749272912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336d2 97344z2 4056k2 936h2 |
Quadratic twists by: -4 8 -3 13 |