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	2280j	Isogeny class
Conductor	2280	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	984960000 = 210 · 34 · 54 · 19	Discriminant
Eigenvalues	2- 3- 5-  4  0  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-480,3600]	[a1,a2,a3,a4,a6]
j	11968836484/961875	j-invariant
L	3.0557624919821	L(r)(E,1)/r!
Ω	1.527881245991	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4560f3 18240i3 6840f3 11400c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280j3

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
-	-	-	4	0	2	2	+	0	-6	8	2	6	-8	-8	-10	12	-2	-4	-8	2	0	4	-10	6

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Quadratic twists for elliptic curve 2280j3

-4	8	-3	5	-7	-19
4560f3	18240i3	6840f3	11400c3	111720bc4	43320l4

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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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