Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fq |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
1.5670938147855E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3234387,-2156374766] |
[a1,a2,a3,a4,a6] |
Generators |
[-897:4810:1] |
Generators of the group modulo torsion |
j |
570403428460237/23887872000 |
j-invariant |
L |
5.2041168773962 |
L(r)(E,1)/r! |
Ω |
0.11286855492086 |
Real period |
R |
3.8423137723641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210x1 40560cn1 121680ei1 |
Quadratic twists by: -4 -3 13 |