Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19920k |
Isogeny class |
Conductor |
19920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
637440000 = 212 · 3 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,84] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
273359449/155625 |
j-invariant |
L |
5.9103870451168 |
L(r)(E,1)/r! |
Ω |
1.392062221778 |
Real period |
R |
2.1228889602248 |
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 |
1245a1 79680bk1 59760bl1 99600bt1 |
Quadratic twists by: -4 8 -3 5 |