Atkin-Lehner |
3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775l |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
-1861764404296875 = -1 · 3 · 512 · 134 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-68383,-7211981] |
[a1,a2,a3,a4,a6] |
j |
-2263364427022336/119152921875 |
j-invariant |
L |
0.58865894239736 |
L(r)(E,1)/r! |
Ω |
0.14716473716256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355e1 |
Quadratic twists by: 5 |