Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12168w |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71245947275523072 = 210 · 38 · 139 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402051,97278766] |
[a1,a2,a3,a4,a6] |
j |
907924/9 |
j-invariant |
L |
1.3906111691488 |
L(r)(E,1)/r! |
Ω |
0.34765279228721 |
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 |
24336v2 97344dd2 4056i2 12168j2 |
Quadratic twists by: -4 8 -3 13 |