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	282a	Isogeny class
Conductor	282	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	16185567096 = 23 · 316 · 47	Discriminant
Eigenvalues	2- 3+  2  0  0  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2142,36771]	[a1,a2,a3,a4,a6]
j	1086913000972513/16185567096	j-invariant
L	1.8619091332295	L(r)(E,1)/r!
Ω	1.2412727554863	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2256p3 9024o4 846c3 7050h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 282a4

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
-	+	2	0	0	2	2	0	0	2	-8	-2	2	-8	+	-2	-4	-10	-8	0	10	0	12	10	2

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Quadratic twists for elliptic curve 282a4

-4	8	-3	5	-7	-11	13	17	-19	-47
2256p3	9024o4	846c3	7050h4	13818bj3	34122b3	47658e3	81498v3	101802e3	13254i3

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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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