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	2256n	Isogeny class
Conductor	2256	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	434307072 = 216 · 3 · 472	Discriminant
Eigenvalues	2- 3- -4  4  0 -2 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4080,-101676]	[a1,a2,a3,a4,a6]
Generators	[404:8022:1]	Generators of the group modulo torsion
j	1834216913521/106032	j-invariant
L	3.2235147578126	L(r)(E,1)/r!
Ω	0.59734763730792	Real period
R	5.3963798573644	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	282b2 9024bh2 6768u2 56400bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256n2

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
-	-	-4	4	0	-2	-6	-6	4	4	-2	-6	-12	2	+	-6	4	2	-10	-8	-2	12	-12	-18	14

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Quadratic twists for elliptic curve 2256n2

-4	8	-3	5	-7	-47
282b2	9024bh2	6768u2	56400bw2	110544cu2	106032bp2

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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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