Cremona's table of elliptic curves

2881 = 43 · 67

Field	Data	Notes
Atkin-Lehner	43+ 67+	Signs for the Atkin-Lehner involutions
Class	2881a	Isogeny class
Conductor	2881	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	236	Modular degree for the optimal curve
Δ	-123883 = -1 · 432 · 67	Discriminant
Eigenvalues	0 -2 -2 -4  2 -4  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,11,-7]	[a1,a2,a3,a4,a6]
Generators	[7:21:1]	Generators of the group modulo torsion
j	134217728/123883	j-invariant
L	1.2365750327148	L(r)(E,1)/r!
Ω	1.8099416262083	Real period
R	0.34160632995255	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	46096c1 25929a1 72025b1 123883a1	Quadratic twists by: -4 -3 5 -43

Hecke Eigenvalues for elliptic curve 2881a1

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

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Quadratic twists for elliptic curve 2881a1

-4	-3	5	-43
46096c1	25929a1	72025b1	123883a1

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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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