Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416dp |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
94238558574870528 = 230 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123660,7874064] |
[a1,a2,a3,a4,a6] |
j |
40530337875/18264064 |
j-invariant |
L |
0.60692787921897 |
L(r)(E,1)/r! |
Ω |
0.30346393962536 |
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 |
52416p3 13104bg3 52416do1 |
Quadratic twists by: -4 8 -3 |