Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112z |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4989910708224 = 212 · 311 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151356,22664320] |
[a1,a2,a3,a4,a6] |
Generators |
[212:324:1] |
Generators of the group modulo torsion |
j |
128420737945408/1671111 |
j-invariant |
L |
5.3099028188618 |
L(r)(E,1)/r! |
Ω |
0.69947461891278 |
Real period |
R |
0.94890913004096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bb2 28704h2 |
Quadratic twists by: -4 -3 |