Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8112g |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20247552 = 210 · 32 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:40:1] [-4:52:1] |
Generators of the group modulo torsion |
j |
907924/9 |
j-invariant |
L |
4.322476400594 |
L(r)(E,1)/r! |
Ω |
2.1710909919712 |
Real period |
R |
0.49773091231307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4056r2 32448dj2 24336u2 8112f2 |
Quadratic twists by: -4 8 -3 13 |