Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8112y |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2125507018752 = 214 · 310 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3384,29808] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:208:1] |
Generators of the group modulo torsion |
j |
476379541/236196 |
j-invariant |
L |
3.3060862324447 |
L(r)(E,1)/r! |
Ω |
0.73119009001888 |
Real period |
R |
1.1303785012866 |
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 |
1014c2 32448di2 24336cc2 8112w2 |
Quadratic twists by: -4 8 -3 13 |