Cremona's table of elliptic curves

28224 = 2⁶ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	28224co	Isogeny class
Conductor	28224	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5.3066328372256E+21	Discriminant
Eigenvalues	2+ 3- -3 7-  3 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20081964,-34815229904]	[a1,a2,a3,a4,a6]
Generators	[100059388:27384630624:1331]	Generators of the group modulo torsion
j	-16591834777/98304	j-invariant
L	3.9897691008693	L(r)(E,1)/r!
Ω	0.035646278935419	Real period
R	13.990833054754	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28224gi2 882j2 9408bk2 28224be2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 28224co2

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
+	-	-3	-	3	-4	0	-4	0	9	1	-8	0	10	-6	-3	-3	-10	10	6	-2	-1	9	6	1

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Quadratic twists for elliptic curve 28224co2

-4	8	-3	-7
28224gi2	882j2	9408bk2	28224be2

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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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