Atkin-Lehner |
2+ 3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362f |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4810752 |
Modular degree for the optimal curve |
Δ |
9.2242968312745E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2666016,820433920] |
[a1,a2,a3,a4,a6] |
Generators |
[-1705:21035:1] |
Generators of the group modulo torsion |
j |
2874647052710344843777/1265335642150141952 |
j-invariant |
L |
4.278565092513 |
L(r)(E,1)/r! |
Ω |
0.14146969849982 |
Real period |
R |
5.0406142268978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12818e1 |
Quadratic twists by: -3 |