Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6324c |
Isogeny class |
Conductor |
6324 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-8464319856 = -1 · 24 · 310 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -6 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1062,13689] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:153:1] [6:87:1] |
Generators of the group modulo torsion |
j |
-8286786611968/529019991 |
j-invariant |
L |
4.8538145154462 |
L(r)(E,1)/r! |
Ω |
1.286891645191 |
Real period |
R |
0.062862253316412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25296h1 101184f1 18972g1 107508c1 |
Quadratic twists by: -4 8 -3 17 |