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	4	Product of Tamagawa factors cp
Δ	577536 = 212 · 3 · 47	Discriminant
Eigenvalues	2- 3+  2  0 -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12032,-504000]	[a1,a2,a3,a4,a6]
Generators	[1162:39410:1]	Generators of the group modulo torsion
j	47034153084673/141	j-invariant
L	2.9253722348811	L(r)(E,1)/r!
Ω	0.45583964226971	Real period
R	6.4175467941208	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	141c4 9024bu3 6768p4 56400ck4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256j3

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 2256j3

-4	8	-3	5	-7	-47
141c4	9024bu3	6768p4	56400ck4	110544ds4	106032u4

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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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