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	2256g	Isogeny class
Conductor	2256	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	6458621184 = 28 · 35 · 473	Discriminant
Eigenvalues	2+ 3-  1 -3 -1 -2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-985,10931]	[a1,a2,a3,a4,a6]
Generators	[-10:141:1]	Generators of the group modulo torsion
j	413269421056/25228989	j-invariant
L	3.5537585854259	L(r)(E,1)/r!
Ω	1.3146274192312	Real period
R	0.18021626170475	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1128b1 9024bl1 6768b1 56400a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2256g1

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
+	-	1	-3	-1	-2	2	-2	-7	-3	-2	-3	6	2	-	4	-4	-2	-14	-14	-2	-7	-8	6	17

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Quadratic twists for elliptic curve 2256g1

-4	8	-3	5	-7	-47
1128b1	9024bl1	6768b1	56400a1	110544i1	106032l1

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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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