Cremona's table of elliptic curves

2280 = 2³ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	2280c	Isogeny class
Conductor	2280	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2584929024000 = 211 · 312 · 53 · 19	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-101576,-12494160]	[a1,a2,a3,a4,a6]
Generators	[1111:35316:1]	Generators of the group modulo torsion
j	56594125707224978/1262172375	j-invariant
L	3.3991556278019	L(r)(E,1)/r!
Ω	0.26742499902179	Real period
R	4.2368958776425	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4560a4 18240m3 6840u4 11400y3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280c3

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	-2	-2	-	8	6	-8	-10	-2	-8	-8	-6	-8	-10	4	16	-6	-16	4	6	14

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Quadratic twists for elliptic curve 2280c3

-4	8	-3	5	-7	-19
4560a4	18240m3	6840u4	11400y3	111720k4	43320s4

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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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