Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502l |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
171110615749164 = 22 · 39 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1954818,-1051491560] |
[a1,a2,a3,a4,a6] |
Generators |
[-276871:141023:343] |
Generators of the group modulo torsion |
j |
1133222782005890083873/234719637516 |
j-invariant |
L |
3.2672485295571 |
L(r)(E,1)/r! |
Ω |
0.12768002743353 |
Real period |
R |
6.3973367551038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834n4 |
Quadratic twists by: -3 |