Cremona's table of elliptic curves

2982 = 2 · 3 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 71+	Signs for the Atkin-Lehner involutions
Class	2982j	Isogeny class
Conductor	2982	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	11364390072 = 23 · 34 · 72 · 713	Discriminant
Eigenvalues	2- 3-  0 7-  0  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-15270868,-22970357800]	[a1,a2,a3,a4,a6]
j	393835520764651127390754625/11364390072	j-invariant
L	4.1240828707362	L(r)(E,1)/r!
Ω	0.076371905013634	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23856n4 95424k4 8946h4 74550a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2982j4

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	-	0	2	0	8	0	6	-4	2	-12	-4	0	6	-6	14	8	+	2	8	0	6	8

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Quadratic twists for elliptic curve 2982j4

-4	8	-3	5	-7
23856n4	95424k4	8946h4	74550a4	20874v4

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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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