Atkin-Lehner |
2- 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110ci |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
63518499000000 = 26 · 36 · 56 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-528000017,4669939926209] |
[a1,a2,a3,a4,a6] |
j |
22330476613271618916608704969/87131000000 |
j-invariant |
L |
3.2148732185854 |
L(r)(E,1)/r! |
Ω |
0.20092957388187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9790d4 |
Quadratic twists by: -3 |