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	2890a	Isogeny class
Conductor	2890	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	491300 = 22 · 52 · 173	Discriminant
Eigenvalues	2+  0 5+  2 -4 -2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-20,-4]	[a1,a2,a3,a4,a6]
Generators	[-2:6:1]	Generators of the group modulo torsion
j	185193/100	j-invariant
L	2.3070150628173	L(r)(E,1)/r!
Ω	2.3993989160661	Real period
R	0.48074854234737	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23120o1 92480bq1 26010bv1 14450r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890a1

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
+	0	+	2	-4	-2	+	8	6	-6	10	-2	-4	8	0	-10	-4	-10	-4	-10	-12	-6	0	2	-16

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Quadratic twists for elliptic curve 2890a1

-4	8	-3	5	17
23120o1	92480bq1	26010bv1	14450r1	2890g1

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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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