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	4	Product of Tamagawa factors cp
Δ	859963392 = 217 · 38	Discriminant
Eigenvalues	2+ 3- -2  0  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13836,626416]	[a1,a2,a3,a4,a6]
j	3065617154/9	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	2	Number of elements in the torsion subgroup
Twists	576i5 72a5 192c5 14400x5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576d5

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 576d5

-4	8	-3	5	-7	-11	13
576i5	72a5	192c5	14400x5	28224by6	69696cp6	97344bp6

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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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