Atkin-Lehner |
3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743m |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.5076273803546E+20 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6256017,5975932410] |
[a1,a2,a3,a4,a6] |
Generators |
[18524242:-209983897:10648] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
6.2685024929354 |
L(r)(E,1)/r! |
Ω |
0.17607648269934 |
Real period |
R |
8.9002551573557 |
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 |
7581e2 1197d2 |
Quadratic twists by: -3 -19 |