Atkin-Lehner |
3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055a |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11207221431147225 = 310 · 52 · 112 · 894 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11762685,15530664600] |
[a1,a2,a3,a4,a6] |
j |
246896882021526583358161/15373417601025 |
j-invariant |
L |
0.60979445877959 |
L(r)(E,1)/r! |
Ω |
0.3048972293653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14685g3 |
Quadratic twists by: -3 |