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	2890d	Isogeny class
Conductor	2890	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	42432	Modular degree for the optimal curve
Δ	-4857359421317120 = -1 · 213 · 5 · 179	Discriminant
Eigenvalues	2+ -3 5+ -4  2  1 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-40225,4580221]	[a1,a2,a3,a4,a6]
Generators	[217:2348:1]	Generators of the group modulo torsion
j	-60698457/40960	j-invariant
L	1.1082353942951	L(r)(E,1)/r!
Ω	0.39939291789992	Real period
R	1.3873999069918	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	23120u1 92480cg1 26010bz1 14450ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2890d1

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
+	-3	+	-4	2	1	+	-7	-6	-3	7	-2	8	8	9	11	5	-1	-10	-1	9	0	-6	-1	-1

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Quadratic twists for elliptic curve 2890d1

-4	8	-3	5	17
23120u1	92480cg1	26010bz1	14450ba1	2890j1

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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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