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	2890n	Isogeny class
Conductor	2890	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-54498105007812500 = -1 · 22 · 59 · 178	Discriminant
Eigenvalues	2-  1 5+ -1  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,86694,-5435464]	[a1,a2,a3,a4,a6]
Generators	[3807036:273651292:729]	Generators of the group modulo torsion
j	10329972191/7812500	j-invariant
L	4.9976457207853	L(r)(E,1)/r!
Ω	0.19777073040815	Real period
R	12.634947826889	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	23120x2 92480ck2 26010v2 14450h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890n2

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	+	-1	0	-4	-	-4	3	6	2	-4	-3	-4	-12	-12	-6	-10	-1	0	2	-10	15	-3	8

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Quadratic twists for elliptic curve 2890n2

-4	8	-3	5	17
23120x2	92480ck2	26010v2	14450h2	2890p2

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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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