Atkin-Lehner |
3- 7+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85491j |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
1769327463897 = 37 · 72 · 234 · 59 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11142,-445361] |
[a1,a2,a3,a4,a6] |
j |
209849322390625/2427060993 |
j-invariant |
L |
3.7200650582941 |
L(r)(E,1)/r! |
Ω |
0.46500813011919 |
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 |
28497a1 |
Quadratic twists by: -3 |