Atkin-Lehner |
5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6205a |
Isogeny class |
Conductor |
6205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
584 |
Modular degree for the optimal curve |
Δ |
6205 = 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2 -1 5+ 4 -4 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:8] |
Generators of the group modulo torsion |
j |
28094464/6205 |
j-invariant |
L |
6.479545977866 |
L(r)(E,1)/r! |
Ω |
3.0568833767667 |
Real period |
R |
2.1196575659748 |
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 |
99280j1 55845m1 31025c1 105485d1 |
Quadratic twists by: -4 -3 5 17 |