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	16	Product of Tamagawa factors cp
Δ	81432576 = 212 · 32 · 472	Discriminant
Eigenvalues	2- 3+  2  0 -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-752,-7680]	[a1,a2,a3,a4,a6]
Generators	[34:70:1]	Generators of the group modulo torsion
j	11497268593/19881	j-invariant
L	2.9253722348811	L(r)(E,1)/r!
Ω	0.91167928453942	Real period
R	3.2087733970604	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	141c2 9024bu2 6768p2 56400ck2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256j2

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 2256j2

-4	8	-3	5	-7	-47
141c2	9024bu2	6768p2	56400ck2	110544ds2	106032u2

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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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