Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590t |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-41284215000 = -1 · 23 · 33 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,864,216] |
[a1,a2,a3,a4,a6] |
Generators |
[6:72:1] |
Generators of the group modulo torsion |
j |
71323643930111/41284215000 |
j-invariant |
L |
8.3832875910811 |
L(r)(E,1)/r! |
Ω |
0.68527982252952 |
Real period |
R |
0.67963215053576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770w2 82950i2 116130cq2 |
Quadratic twists by: -3 5 -7 |