Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688i |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-277569357230592 = -1 · 29 · 37 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5181,-788618] |
[a1,a2,a3,a4,a6] |
j |
41206620664/743659329 |
j-invariant |
L |
1.0705755788761 |
L(r)(E,1)/r! |
Ω |
0.26764389813432 |
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 |
86688bs2 28896o2 |
Quadratic twists by: -4 -3 |