Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438z |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6517486333941952512 = 212 · 3 · 1112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7886238,8522644164] |
[a1,a2,a3,a4,a6] |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
5.483423986672 |
L(r)(E,1)/r! |
Ω |
0.22847599944467 |
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 |
75504bh4 28314p4 858b4 122694be4 |
Quadratic twists by: -4 -3 -11 13 |