Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dw |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24785458790400 = 215 · 36 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2107227,1177375754] |
[a1,a2,a3,a4,a6] |
j |
346553430870203929/8300600 |
j-invariant |
L |
1.9508284088168 |
L(r)(E,1)/r! |
Ω |
0.48770710220051 |
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 |
6930bk2 6160f2 |
Quadratic twists by: -4 -3 |