Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416gb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-667627204608 = -1 · 212 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,39296] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:169:1] [-11:189:1] |
Generators of the group modulo torsion |
j |
314432/223587 |
j-invariant |
L |
8.812673650055 |
L(r)(E,1)/r! |
Ω |
0.70834964131331 |
Real period |
R |
1.5551418988713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416es2 26208v1 17472cd2 |
Quadratic twists by: -4 8 -3 |