Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112k |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.8152960832501E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825212,926712160] |
[a1,a2,a3,a4,a6] |
Generators |
[-907:42849:1] |
Generators of the group modulo torsion |
j |
225204042539923264/6079389853563 |
j-invariant |
L |
4.7309578539521 |
L(r)(E,1)/r! |
Ω |
0.21740643638777 |
Real period |
R |
0.90670380928955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112ba2 28704r2 |
Quadratic twists by: -4 -3 |