Atkin-Lehner |
3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6675c |
Isogeny class |
Conductor |
6675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-6675 = -1 · 3 · 52 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:8] |
Generators of the group modulo torsion |
j |
20480/267 |
j-invariant |
L |
7.1376541202226 |
L(r)(E,1)/r! |
Ω |
3.1190064747462 |
Real period |
R |
2.2884383786999 |
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 |
106800bu1 20025o1 6675h1 |
Quadratic twists by: -4 -3 5 |