Atkin-Lehner |
3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13065o |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-398833621875 = -1 · 37 · 55 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- 5- -5 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-135,-30436] |
[a1,a2,a3,a4,a6] |
Generators |
[66:502:1] |
Generators of the group modulo torsion |
j |
-274118311936/398833621875 |
j-invariant |
L |
4.3035232816276 |
L(r)(E,1)/r! |
Ω |
0.42857111398686 |
Real period |
R |
0.1434508813516 |
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 |
39195j1 65325c1 |
Quadratic twists by: -3 5 |