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	890c	Isogeny class
Conductor	890	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	139062500 = 22 · 58 · 89	Discriminant
Eigenvalues	2+  2 5+  4  0  0  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-418,3072]	[a1,a2,a3,a4,a6]
j	8107275964969/139062500	j-invariant
L	1.8431917777306	L(r)(E,1)/r!
Ω	1.8431917777306	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7120l1 28480x1 8010j1 4450o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 890c1

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	+	4	0	0	2	6	-4	4	4	-4	-2	6	0	14	-6	-8	-8	-16	14	0	6	-	-2

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Quadratic twists for elliptic curve 890c1

-4	8	-3	5	-7	-11	89
7120l1	28480x1	8010j1	4450o1	43610k1	107690bc1	79210c1

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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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