Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470db |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1569580740 = 22 · 36 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519,4265] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:99:1] |
Generators of the group modulo torsion |
j |
9663597/980 |
j-invariant |
L |
5.2732850811094 |
L(r)(E,1)/r! |
Ω |
1.4604892793396 |
Real period |
R |
0.90265727345775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830r1 106470ek1 |
Quadratic twists by: -3 13 |