Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280c |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2248557004800 = 211 · 32 · 52 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10336,401440] |
[a1,a2,a3,a4,a6] |
j |
59633909067458/1097928225 |
j-invariant |
L |
1.6429307755183 |
L(r)(E,1)/r! |
Ω |
0.82146538775915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5640g3 45120cz3 33840l3 56400n3 |
Quadratic twists by: -4 8 -3 5 |