Dirichlet character χ2240(1889,⋅)\chi_{2240}(1889,\cdot)

• Label: 2240.1889
• Modulus: $2240$
• Conductor: $280$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2240$
Conductor:	$280$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{280}(69,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2240.c

$\chi_{2240}(1889,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-70})$

Values on generators

$(1471,1541,897,1921)$ → $(1,-1,-1,-1)$

First values

$a$	$-1$	$1$	$3$	$9$	$11$	$13$	$17$	$19$	$23$	$27$	$29$	$31$
$\chi_{ 2240 }(1889, a)$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$