Cremona's table of elliptic curves

2890 = 2 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	2890h	Isogeny class
Conductor	2890	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-289000 = -1 · 23 · 53 · 172	Discriminant
Eigenvalues	2+  2 5-  1  3 -1 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-82,-324]	[a1,a2,a3,a4,a6]
j	-215038729/1000	j-invariant
L	2.3753580971964	L(r)(E,1)/r!
Ω	0.79178603239879	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23120bi2 92480u2 26010bg2 14450v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890h2

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	-	1	3	-1	+	-4	-3	6	10	10	6	2	3	-3	9	-8	14	6	-2	10	-6	-3	10

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Quadratic twists for elliptic curve 2890h2

-4	8	-3	5	17
23120bi2	92480u2	26010bg2	14450v2	2890e2

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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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