Atkin-Lehner |
3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22743n |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
741111928603641 = 38 · 74 · 196 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159269,-24390012] |
[a1,a2,a3,a4,a6] |
Generators |
[-77833:95985:343] |
Generators of the group modulo torsion |
j |
13027640977/21609 |
j-invariant |
L |
3.53176315208 |
L(r)(E,1)/r! |
Ω |
0.23900678048303 |
Real period |
R |
7.3884162301638 |
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 |
7581b4 63a4 |
Quadratic twists by: -3 -19 |