Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158n |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3814465462848 = 26 · 38 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7259,-216885] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:144:1] |
Generators of the group modulo torsion |
j |
58019032533097/5232462912 |
j-invariant |
L |
7.5071453449468 |
L(r)(E,1)/r! |
Ω |
0.52021400217961 |
Real period |
R |
2.4051465081336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264bk1 4386e1 |
Quadratic twists by: -4 -3 |