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	8	Product of Tamagawa factors cp
Δ	143327232 = 216 · 37	Discriminant
Eigenvalues	2+ 3- -2  0  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2316,-42896]	[a1,a2,a3,a4,a6]
j	28756228/3	j-invariant
L	1.3764094010022	L(r)(E,1)/r!
Ω	0.68820470050109	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	576i4 72a3 192c4 14400x3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576d3

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 576d3

-4	8	-3	5	-7	-11	13
576i4	72a3	192c4	14400x3	28224by4	69696cp4	97344bp4

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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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