Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965o |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.7636282200673E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-324286901,-2245292841870] |
[a1,a2,a3,a4,a6] |
Generators |
[-1069133722:5345826350:103823] |
Generators of the group modulo torsion |
j |
32057060107551693105326401/40490171782737618375 |
j-invariant |
L |
3.2672862913954 |
L(r)(E,1)/r! |
Ω |
0.035579524685037 |
Real period |
R |
15.305086845682 |
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 |
41895bk4 69825j4 1995d4 |
Quadratic twists by: -3 5 -7 |