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	2982k	Isogeny class
Conductor	2982	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-30064524 = -1 · 22 · 3 · 7 · 713	Discriminant
Eigenvalues	2- 3-  3 7-  3 -7  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5509,-157843]	[a1,a2,a3,a4,a6]
j	-18490427676470737/30064524	j-invariant
L	4.9873910094361	L(r)(E,1)/r!
Ω	0.277077278302	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23856q2 95424o2 8946l2 74550h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2982k2

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	-	3	-7	6	2	0	0	-7	-7	6	-1	6	3	-6	-1	-10	+	-4	-1	15	15	2

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Quadratic twists for elliptic curve 2982k2

-4	8	-3	5	-7
23856q2	95424o2	8946l2	74550h2	20874ba2

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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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