Cremona's table of elliptic curves

576 = 2⁶ · 3²

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	576b	Isogeny class
Conductor	576	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1934917632 = -1 · 215 · 310	Discriminant
Eigenvalues	2+ 3-  2  4 -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,276,1168]	[a1,a2,a3,a4,a6]
j	97336/81	j-invariant
L	1.9129209870718	L(r)(E,1)/r!
Ω	0.95646049353591	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	576c4 288c4 192b4 14400bt4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 576b4

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	4	-4	2	6	-4	0	2	-4	2	-2	4	8	10	4	-6	4	-16	-6	-4	-12	-10	-14

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Quadratic twists for elliptic curve 576b4

-4	8	-3	5	-7	-11	13
576c4	288c4	192b4	14400bt4	28224cl3	69696co3	97344cj3

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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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