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	18	Product of Tamagawa factors cp
deg	7344	Modular degree for the optimal curve
Δ	-55806059528000 = -1 · 26 · 53 · 178	Discriminant
Eigenvalues	2-  1 5+ -1  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11566,597700]	[a1,a2,a3,a4,a6]
Generators	[6:724:1]	Generators of the group modulo torsion
j	-24529249/8000	j-invariant
L	4.9976457207853	L(r)(E,1)/r!
Ω	0.59331219122446	Real period
R	4.2116492756295	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23120x1 92480ck1 26010v1 14450h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890n1

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 2890n1

-4	8	-3	5	17
23120x1	92480ck1	26010v1	14450h1	2890p1

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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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