Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180r |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-171196750368000 = -1 · 28 · 310 · 53 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2127,630646] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:630:1] [35:-774:1] |
Generators of the group modulo torsion |
j |
-5702413264/917335125 |
j-invariant |
L |
9.81234802626 |
L(r)(E,1)/r! |
Ω |
0.46784976277369 |
Real period |
R |
0.58259134585385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060h2 |
Quadratic twists by: -3 |