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
deg	3456	Modular degree for the optimal curve
Δ	-410338673000 = -1 · 23 · 53 · 177	Discriminant
Eigenvalues	2+ -1 5+ -2  0  5 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-728,31432]	[a1,a2,a3,a4,a6]
Generators	[-33:161:1]	Generators of the group modulo torsion
j	-1771561/17000	j-invariant
L	1.7867766661773	L(r)(E,1)/r!
Ω	0.8074268478932	Real period
R	0.55323174812663	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	23120q1 92480bv1 26010bw1 14450s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890b1

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 2890b1

-4	8	-3	5	17
23120q1	92480bv1	26010bw1	14450s1	170d1

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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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