Cremona's table of elliptic curves

282 = 2 · 3 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	282b	Isogeny class
Conductor	282	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	106032 = 24 · 3 · 472	Discriminant
Eigenvalues	2- 3+ -4 -4  0 -2 -6  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-255,1461]	[a1,a2,a3,a4,a6]
Generators	[-3:48:1]	Generators of the group modulo torsion
j	1834216913521/106032	j-invariant
L	1.6378344218273	L(r)(E,1)/r!
Ω	3.1689198046739	Real period
R	0.25842156362108	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2256n2 9024z2 846a2 7050g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 282b2

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
-	+	-4	-4	0	-2	-6	6	-4	4	2	-6	-12	-2	-	-6	-4	2	10	8	-2	-12	12	-18	14

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Quadratic twists for elliptic curve 282b2

-4	8	-3	5	-7	-11	13	17	-19	-47
2256n2	9024z2	846a2	7050g2	13818be2	34122h2	47658d2	81498z2	101802f2	13254j2

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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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