Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232t |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.120698750644E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1207392,36193860] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:2640:1] |
Generators of the group modulo torsion |
j |
39383007958948/22674035241 |
j-invariant |
L |
10.554661163776 |
L(r)(E,1)/r! |
Ω |
0.15975619777942 |
Real period |
R |
4.1292064542598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963201 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44616b4 6864h3 |
Quadratic twists by: -4 13 |