Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352el |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
412018016256 = 220 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135084,-19109680] |
[a1,a2,a3,a4,a6] |
j |
1426487591593/2156 |
j-invariant |
L |
3.9844519940833 |
L(r)(E,1)/r! |
Ω |
0.24902824963357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bm2 11088cb2 4928bi2 |
Quadratic twists by: -4 8 -3 |