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	28224fu	Isogeny class
Conductor	28224	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	154922431942656 = 212 · 38 · 78	Discriminant
Eigenvalues	2- 3-  2 7-  4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-25284,1426880]	[a1,a2,a3,a4,a6]
j	5088448/441	j-invariant
L	2.250335054801	L(r)(E,1)/r!
Ω	0.56258376369996	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	28224fx2 14112bb1 9408ce2 4032bk2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 28224fu2

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

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Quadratic twists for elliptic curve 28224fu2

-4	8	-3	-7
28224fx2	14112bb1	9408ce2	4032bk2

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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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