Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bj |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4084826112000 = -1 · 218 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1439,-94465] |
[a1,a2,a3,a4,a6] |
Generators |
[89:864:1] |
Generators of the group modulo torsion |
j |
1256216039/15582375 |
j-invariant |
L |
6.2843861814675 |
L(r)(E,1)/r! |
Ω |
0.38345190066245 |
Real period |
R |
2.0486227120698 |
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 |
18240bt1 285c1 54720cl1 91200bl1 |
Quadratic twists by: -4 8 -3 5 |