Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dp |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2044956672 = 212 · 33 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1529,22407] |
[a1,a2,a3,a4,a6] |
Generators |
[19:24:1] |
Generators of the group modulo torsion |
j |
96576225472/499257 |
j-invariant |
L |
8.7310560436162 |
L(r)(E,1)/r! |
Ω |
1.4790379224146 |
Real period |
R |
0.98386659598541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592ca2 43296d1 |
Quadratic twists by: -4 8 |