Cremona's table of elliptic curves

288 = 2⁵ · 3²

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	288c	Isogeny class
Conductor	288	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1119744 = 29 · 37	Discriminant
Eigenvalues	2+ 3- -2  4  4 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-291,1910]	[a1,a2,a3,a4,a6]
j	7301384/3	j-invariant
L	1.3526394018325	L(r)(E,1)/r!
Ω	2.7052788036651	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	288b2 576b3 96b2 7200bq3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 288c3

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 288c3

-4	8	-3	5	-7	-11	13	17	-19
288b2	576b3	96b2	7200bq3	14112v2	34848cg4	48672bs4	83232m4	103968cg4

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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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