Atkin-Lehner |
2- 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bx |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
98477938944 = 28 · 36 · 72 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1346,-11199] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:83:1] [-13:69:1] |
Generators of the group modulo torsion |
j |
369682454233/135086336 |
j-invariant |
L |
16.228638100086 |
L(r)(E,1)/r! |
Ω |
0.81237205868526 |
Real period |
R |
1.2485533825734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13706h1 |
Quadratic twists by: -3 |