Cremona's table of elliptic curves

1128 = 2³ · 3 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	1128d	Isogeny class
Conductor	1128	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	3910667587351271424 = 211 · 311 · 476	Discriminant
Eigenvalues	2- 3+ -2  0 -2  4  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7523664,7945078284]	[a1,a2,a3,a4,a6]
Generators	[1210:660209:8]	Generators of the group modulo torsion
j	22997572353926913873314/1909505657886363	j-invariant
L	2.0587879612901	L(r)(E,1)/r!
Ω	0.23654211665898	Real period
R	5.8024563528595	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	2256e2 9024v2 3384a2 28200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1128d2

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	-2	4	2	8	-8	-6	-10	-6	0	-8	-	10	-8	10	8	-16	-2	4	-16	6	-10

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Quadratic twists for elliptic curve 1128d2

-4	8	-3	5	-7	-47
2256e2	9024v2	3384a2	28200h2	55272bd2	53016k2

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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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