Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560b |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5102013593600 = 211 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13736,614636] |
[a1,a2,a3,a4,a6] |
j |
1189646642/21175 |
j-invariant |
L |
1.5349387789003 |
L(r)(E,1)/r! |
Ω |
0.76746938945015 |
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 |
43120k2 107800bu2 3080a2 |
Quadratic twists by: -4 5 -7 |