Atkin-Lehner |
2+ 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850d |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1105641760625000 = -1 · 23 · 57 · 17 · 1014 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3019626,-2019909852] |
[a1,a2,a3,a4,a6] |
j |
-194878060080570372241/70761072680 |
j-invariant |
L |
0.91622306500038 |
L(r)(E,1)/r! |
Ω |
0.057263946822956 |
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 |
17170n1 |
Quadratic twists by: 5 |