Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168a |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16441372448197632 = 210 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77571,-5575986] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1188:1] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
3.3318544359298 |
L(r)(E,1)/r! |
Ω |
0.29326730642211 |
Real period |
R |
2.8402879923599 |
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 |
24336b2 97344i2 12168l2 936f2 |
Quadratic twists by: -4 8 -3 13 |