Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2142g |
Isogeny class |
Conductor |
2142 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.2639212884111E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-816516,-71166128] |
[a1,a2,a3,a4,a6] |
Generators |
[-513:14834:1] |
Generators of the group modulo torsion |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
2.5663010016199 |
L(r)(E,1)/r! |
Ω |
0.16932626500501 |
Real period |
R |
1.8944941896226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17136y2 68544ca2 714g2 53550dt2 |
Quadratic twists by: -4 8 -3 5 |