Cremona's table of elliptic curves

890 = 2 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 5- 89+	Signs for the Atkin-Lehner involutions
Class	890g	Isogeny class
Conductor	890	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-55840594490 = -1 · 2 · 5 · 895	Discriminant
Eigenvalues	2- -1 5- -2 -3 -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2040,-38093]	[a1,a2,a3,a4,a6]
Generators	[11490:12823:216]	Generators of the group modulo torsion
j	-938917686360961/55840594490	j-invariant
L	2.8194525619231	L(r)(E,1)/r!
Ω	0.35396996942357	Real period
R	7.9652309672329	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	7120n2 28480c2 8010f2 4450a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 890g2

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	-	-2	-3	-6	-2	0	4	-10	-8	8	2	9	3	-11	0	7	-2	-8	-16	0	9	+	-2

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Quadratic twists for elliptic curve 890g2

-4	8	-3	5	-7	-11	89
7120n2	28480c2	8010f2	4450a2	43610w2	107690r2	79210h2

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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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