Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57309967024128 = 217 · 37 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34284,2416048] |
[a1,a2,a3,a4,a6] |
j |
46640233586/599781 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
52416fi4 6552v3 17472bk3 |
Quadratic twists by: -4 8 -3 |