Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dd |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35789383139328 = 219 · 37 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240204,-45311632] |
[a1,a2,a3,a4,a6] |
j |
8020417344913/187278 |
j-invariant |
L |
1.7252224115385 |
L(r)(E,1)/r! |
Ω |
0.21565280149306 |
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 |
52416fj4 1638i3 17472o3 |
Quadratic twists by: -4 8 -3 |