Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158h |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-21556165290048 = -1 · 26 · 313 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 2 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6651,-81131] |
[a1,a2,a3,a4,a6] |
Generators |
[50:587:1] |
Generators of the group modulo torsion |
j |
44629322792111/29569499712 |
j-invariant |
L |
3.1252005609462 |
L(r)(E,1)/r! |
Ω |
0.38712816369032 |
Real period |
R |
0.67273168037236 |
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 |
105264cc1 4386j1 |
Quadratic twists by: -4 -3 |