Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13065n |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2243439123046875 = -1 · 39 · 59 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32155,-506869] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2512:1] |
Generators of the group modulo torsion |
j |
3676679279187329024/2243439123046875 |
j-invariant |
L |
4.6507229954362 |
L(r)(E,1)/r! |
Ω |
0.26753783906753 |
Real period |
R |
0.96574563301768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39195h1 65325a1 |
Quadratic twists by: -3 5 |