Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416du |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40255488 = 214 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5820,-170896] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1027:1] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
5.6082890646621 |
L(r)(E,1)/r! |
Ω |
0.54659902996894 |
Real period |
R |
5.1301674144927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416ba2 13104a2 52416dv2 |
Quadratic twists by: -4 8 -3 |