Cremona's table of elliptic curves

2880 = 2⁶ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Class	2880i	Isogeny class
Conductor	2880	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	93312000 = 210 · 36 · 53	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1488,22088]	[a1,a2,a3,a4,a6]
j	488095744/125	j-invariant
L	1.8568481094819	L(r)(E,1)/r!
Ω	1.8568481094819	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	2880ba3 180a3 320c3 14400bf3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2880i3

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

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Quadratic twists for elliptic curve 2880i3

-4	8	-3	5
2880ba3	180a3	320c3	14400bf3

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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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