Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168m |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
295612416 = 212 · 38 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4764,-126560] |
[a1,a2,a3,a4,a6] |
Generators |
[5540:21195:64] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
3.7430292242667 |
L(r)(E,1)/r! |
Ω |
0.57465509379743 |
Real period |
R |
6.5135230935344 |
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 |
3168u3 6336p1 1056i3 79200dx4 |
Quadratic twists by: -4 8 -3 5 |