Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084h |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32760 |
Modular degree for the optimal curve |
Δ |
1607981448926736 = 24 · 36 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257049,-50124555] |
[a1,a2,a3,a4,a6] |
Generators |
[-2376557415988:1073025650575:8254655261] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
4.2177759810496 |
L(r)(E,1)/r! |
Ω |
0.21204004821788 |
Real period |
R |
19.89141210115 |
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 |
24336bq1 97344cc1 676e1 6084k1 |
Quadratic twists by: -4 8 -3 13 |