Cremona's table of elliptic curves

576 = 2⁶ · 3²

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	576d	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]
j	1556068/81	j-invariant
L	1.3764094010022	L(r)(E,1)/r!
Ω	1.3764094010022	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	576i3 72a4 192c3 14400x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576d4

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 576d4

-4	8	-3	5	-7	-11	13
576i3	72a4	192c3	14400x4	28224by3	69696cp3	97344bp3

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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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