Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560a |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3228045822818432000 = 210 · 53 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-369803,4454198] |
[a1,a2,a3,a4,a6] |
j |
46424454082884/26794860125 |
j-invariant |
L |
0.42828199838229 |
L(r)(E,1)/r! |
Ω |
0.21414099919114 |
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 |
43120j4 107800bn4 440c3 |
Quadratic twists by: -4 5 -7 |