Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bs |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
187580913440256 = 29 · 37 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19659,-831490] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:430:1] |
Generators of the group modulo torsion |
j |
2251181395016/502563747 |
j-invariant |
L |
8.2403559137175 |
L(r)(E,1)/r! |
Ω |
0.40962315476828 |
Real period |
R |
1.2573074511483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688i3 28896f3 |
Quadratic twists by: -4 -3 |