Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ck |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-106697606400 = -1 · 28 · 39 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,15066] |
[a1,a2,a3,a4,a6] |
j |
2963088/21175 |
j-invariant |
L |
1.540030475154 |
L(r)(E,1)/r! |
Ω |
0.77001523716959 |
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 |
13860g2 55440bx2 |
Quadratic twists by: -4 -3 |