Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416et |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-32223865844072448 = -1 · 216 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61044,-6394736] |
[a1,a2,a3,a4,a6] |
Generators |
[576:14828:1] |
Generators of the group modulo torsion |
j |
526556774012/674481717 |
j-invariant |
L |
4.6569461895384 |
L(r)(E,1)/r! |
Ω |
0.19760822063782 |
Real period |
R |
5.8916402547725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416co3 13104v4 17472cm4 |
Quadratic twists by: -4 8 -3 |