Cremona's table of elliptic curves

576 = 2⁶ · 3²

Field	Data	Notes
Atkin-Lehner	2- 3-	Signs for the Atkin-Lehner involutions
Class	576i	Isogeny class
Conductor	576	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3869835264 = 216 · 310	Discriminant
Eigenvalues	2- 3- -2  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-876,-9520]	[a1,a2,a3,a4,a6]
Generators	[-16:20:1]	Generators of the group modulo torsion
j	1556068/81	j-invariant
L	1.9003720950219	L(r)(E,1)/r!
Ω	0.8803938264503	Real period
R	2.1585477293544	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	576d4 144b3 192d4 14400ds3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576i3

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	-4	2	-2	-4	-8	6	-8	-6	6	4	0	-2	-4	2	-4	8	10	8	4	6	2

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Quadratic twists for elliptic curve 576i3

-4	8	-3	5	-7	-11	13
576d4	144b3	192d4	14400ds3	28224fv3	69696gl3	97344fb3

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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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