Cremona's table of elliptic curves

2256 = 2⁴ · 3 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	2256j	Isogeny class
Conductor	2256	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	59961520128 = 212 · 3 · 474	Discriminant
Eigenvalues	2- 3+  2  0 -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-992,-2112]	[a1,a2,a3,a4,a6]
Generators	[4370:8582:125]	Generators of the group modulo torsion
j	26383748833/14639043	j-invariant
L	2.9253722348811	L(r)(E,1)/r!
Ω	0.91167928453942	Real period
R	6.4175467941208	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	141c3 9024bu4 6768p3 56400ck3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256j4

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	0	0	-6	4	-10	-2	-8	-	-2	4	14	8	-16	2	-8	4	18	-14

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Quadratic twists for elliptic curve 2256j4

-4	8	-3	5	-7	-47
141c3	9024bu4	6768p3	56400ck3	110544ds3	106032u3

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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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