Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3560678424576 = 216 · 38 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,-39440] |
[a1,a2,a3,a4,a6] |
j |
153091012/74529 |
j-invariant |
L |
2.5151577065329 |
L(r)(E,1)/r! |
Ω |
0.628789426922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416fi2 6552v2 17472bk2 |
Quadratic twists by: -4 8 -3 |