Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13013g |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
816546451721 = 7 · 11 · 139 |
Discriminant |
Eigenvalues |
-1 -2 2 7+ 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2792,36295] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1390:1] |
Generators of the group modulo torsion |
j |
226981/77 |
j-invariant |
L |
2.0582931910285 |
L(r)(E,1)/r! |
Ω |
0.82185792344418 |
Real period |
R |
5.0088783774274 |
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 |
117117y1 91091t1 13013p1 |
Quadratic twists by: -3 -7 13 |