Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bb |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1035876294144000000 = 215 · 316 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-856808,-301023888] |
[a1,a2,a3,a4,a6] |
j |
1086913000972513/16185567096 |
j-invariant |
L |
1.2564938423263 |
L(r)(E,1)/r! |
Ω |
0.15706173030941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7050h4 2256p3 |
Quadratic twists by: -4 5 |