Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416fz |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
128947425804288 = 215 · 39 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74604,-7824112] |
[a1,a2,a3,a4,a6] |
j |
1922350562504/5398029 |
j-invariant |
L |
2.3113851283411 |
L(r)(E,1)/r! |
Ω |
0.28892314099546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416er4 26208bs4 17472cg3 |
Quadratic twists by: -4 8 -3 |