Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12168v |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
160303381369926912 = 28 · 310 · 139 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164775,-17079478] |
[a1,a2,a3,a4,a6] |
j |
250000/81 |
j-invariant |
L |
1.9445088494705 |
L(r)(E,1)/r! |
Ω |
0.24306360618381 |
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 |
24336s2 97344db2 4056e2 12168i2 |
Quadratic twists by: -4 8 -3 13 |