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	2256p	Isogeny class
Conductor	2256	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	3799318265856 = 218 · 38 · 472	Discriminant
Eigenvalues	2- 3-  2  0  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4192,44660]	[a1,a2,a3,a4,a6]
j	1989441544033/927567936	j-invariant
L	2.8096056450846	L(r)(E,1)/r!
Ω	0.70240141127114	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	282a2 9024bm2 6768o2 56400bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256p2

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

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Quadratic twists for elliptic curve 2256p2

-4	8	-3	5	-7	-47
282a2	9024bm2	6768o2	56400bb2	110544cd2	106032bl2

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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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