Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992p |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
45342604140624 = 24 · 35 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25839,-1574154] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:153:1] |
Generators of the group modulo torsion |
j |
2955053056/70227 |
j-invariant |
L |
4.8448879422942 |
L(r)(E,1)/r! |
Ω |
0.37710129405129 |
Real period |
R |
1.2847709670376 |
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 |
39984e1 59976bn1 19992h1 |
Quadratic twists by: -4 -3 -7 |