Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240ck |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-57378078720 = -1 · 226 · 32 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799,7839] |
[a1,a2,a3,a4,a6] |
Generators |
[26:819:8] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
6.486149652616 |
L(r)(E,1)/r! |
Ω |
0.73538935719135 |
Real period |
R |
4.4100105537211 |
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 |
18240l1 4560t1 54720en1 91200fn1 |
Quadratic twists by: -4 8 -3 5 |