Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086b |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
2974482432 = 216 · 33 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -1 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1121,13749] |
[a1,a2,a3,a4,a6] |
Generators |
[34:111:1] |
Generators of the group modulo torsion |
j |
92806423177/1769472 |
j-invariant |
L |
1.966323864257 |
L(r)(E,1)/r! |
Ω |
1.4266904569773 |
Real period |
R |
0.68912070401841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688bb1 30258p1 10086l1 |
Quadratic twists by: -4 -3 41 |