Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bo |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1888226919936 = 29 · 36 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3099,6190] |
[a1,a2,a3,a4,a6] |
j |
8818423496/5058907 |
j-invariant |
L |
1.4239050405739 |
L(r)(E,1)/r! |
Ω |
0.71195246763469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688t2 9632c2 |
Quadratic twists by: -4 -3 |