Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bh |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-42904379842560 = -1 · 213 · 315 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,316874] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5832:1] |
Generators of the group modulo torsion |
j |
-273359449/14368590 |
j-invariant |
L |
6.5916177575781 |
L(r)(E,1)/r! |
Ω |
0.53181231334597 |
Real period |
R |
0.77466448126813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570bb1 17520k1 |
Quadratic twists by: -4 -3 |