Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400w |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12954200832000000 = 214 · 33 · 56 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241808,-45357888] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:550:1] [-2182:3839:8] |
Generators of the group modulo torsion |
j |
24431916147913/202409388 |
j-invariant |
L |
8.1369265185323 |
L(r)(E,1)/r! |
Ω |
0.21540151722576 |
Real period |
R |
18.887811523638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bf4 1776j3 |
Quadratic twists by: -4 5 |