Cremona's table of elliptic curves

21160 = 2³ · 5 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 23-	Signs for the Atkin-Lehner involutions
Class	21160c	Isogeny class
Conductor	21160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12320	Modular degree for the optimal curve
Δ	11842871120 = 24 · 5 · 236	Discriminant
Eigenvalues	2+  0 5+  4 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1058,-12167]	[a1,a2,a3,a4,a6]
j	55296/5	j-invariant
L	0.84194192817844	L(r)(E,1)/r!
Ω	0.84194192817844	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	42320c1 105800v1 40a3	Quadratic twists by: -4 5 -23

Hecke Eigenvalues for elliptic curve 21160c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	0	+	4	-4	-2	-2	-4	-	-2	-8	-6	-6	8	4	-6	-4	2	-8	0	-6	0	16	6	14

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Quadratic twists for elliptic curve 21160c1

-4	5	-23
42320c1	105800v1	40a3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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