Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12168j |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14760465408 = 210 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,44278] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:216:1] |
Generators of the group modulo torsion |
j |
907924/9 |
j-invariant |
L |
5.6283414750092 |
L(r)(E,1)/r! |
Ω |
1.2534799686498 |
Real period |
R |
1.1225431629897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24336u2 97344df2 4056r2 12168w2 |
Quadratic twists by: -4 8 -3 13 |