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	2890b	Isogeny class
Conductor	2890	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-303584963832320 = -1 · 29 · 5 · 179	Discriminant
Eigenvalues	2+ -1 5+ -2  0  5 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,6497,-811003]	[a1,a2,a3,a4,a6]
Generators	[926:9363:8]	Generators of the group modulo torsion
j	1256216039/12577280	j-invariant
L	1.7867766661773	L(r)(E,1)/r!
Ω	0.26914228263107	Real period
R	1.6596952443799	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	23120q2 92480bv2 26010bw2 14450s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890b2

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	0	5	+	-1	-6	9	1	4	6	2	-9	-9	3	7	14	-3	-11	-8	0	-9	7

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Quadratic twists for elliptic curve 2890b2

-4	8	-3	5	17
23120q2	92480bv2	26010bw2	14450s2	170d2

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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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