Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32472a |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1463966762683392 = -1 · 210 · 39 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11637,-1776330] |
[a1,a2,a3,a4,a6] |
Generators |
[20348790:1580297084:3375] |
Generators of the group modulo torsion |
j |
8646803028/72634001 |
j-invariant |
L |
6.7022477714249 |
L(r)(E,1)/r! |
Ω |
0.23712290230469 |
Real period |
R |
14.132434501861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944e2 32472m2 |
Quadratic twists by: -4 -3 |