Atkin-Lehner |
2+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
86336d |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-2212878016 = -1 · 26 · 193 · 712 |
Discriminant |
Eigenvalues |
2+ 2 -3 3 5 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4807,-126711] |
[a1,a2,a3,a4,a6] |
j |
-191980203484672/34576219 |
j-invariant |
L |
5.1601378048714 |
L(r)(E,1)/r! |
Ω |
0.28667433078297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336g1 43168f1 |
Quadratic twists by: -4 8 |