Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780i |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-646041354519600 = -1 · 24 · 39 · 52 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98712,-11999691] |
[a1,a2,a3,a4,a6] |
Generators |
[430689:14728230:343] |
Generators of the group modulo torsion |
j |
-337770946363392/2051393825 |
j-invariant |
L |
7.0351200829061 |
L(r)(E,1)/r! |
Ω |
0.13462304804763 |
Real period |
R |
8.7096528478732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39780d1 |
Quadratic twists by: -3 |