Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167l |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
28796229 = 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10407,-408636] |
[a1,a2,a3,a4,a6] |
j |
170990840664064/39501 |
j-invariant |
L |
0.94536205748839 |
L(r)(E,1)/r! |
Ω |
0.4726810287442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389g1 92169bp1 |
Quadratic twists by: -3 -7 |