Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bi |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-796883569020 = -1 · 22 · 33 · 5 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6164,190622] |
[a1,a2,a3,a4,a6] |
j |
-25894666195845049/796883569020 |
j-invariant |
L |
1.7824225349403 |
L(r)(E,1)/r! |
Ω |
0.89121126749389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810em1 |
Quadratic twists by: -3 |