Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112g |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61603835904 = 212 · 37 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1596,-21440] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:36:1] [-19:45:1] |
Generators of the group modulo torsion |
j |
150568768/20631 |
j-invariant |
L |
8.4457495548825 |
L(r)(E,1)/r! |
Ω |
0.76220073346026 |
Real period |
R |
2.77018545915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112j2 28704s2 |
Quadratic twists by: -4 -3 |