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	2880y	Isogeny class
Conductor	2880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	9674588160 = 215 · 310 · 5	Discriminant
Eigenvalues	2- 3- 5+  0  4 -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2028,34832]	[a1,a2,a3,a4,a6]
Generators	[34:72:1]	Generators of the group modulo torsion
j	38614472/405	j-invariant
L	3.2187870180368	L(r)(E,1)/r!
Ω	1.2981166082242	Real period
R	0.61989558519707	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	2880z3 1440l3 960k3 14400do3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2880y3

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	-4	-6	0	-2	6	-4	12	-6	12	-14	12	0	2	-8	-4	-2	-14

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Quadratic twists for elliptic curve 2880y3

-4	8	-3	5
2880z3	1440l3	960k3	14400do3

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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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