Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bx |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
42131723450112 = 28 · 37 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 2 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9255,141122] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:578:1] |
Generators of the group modulo torsion |
j |
469770226000/225757263 |
j-invariant |
L |
7.5676067459163 |
L(r)(E,1)/r! |
Ω |
0.57257856097587 |
Real period |
R |
1.3216713370552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436j1 43248k1 |
Quadratic twists by: -4 -3 |