Cremona's table of elliptic curves

2016 = 2⁵ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	2016h	Isogeny class
Conductor	2016	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8065516032 = 29 · 38 · 74	Discriminant
Eigenvalues	2+ 3- -2 7-  0  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1011,-11594]	[a1,a2,a3,a4,a6]
Generators	[-15:14:1]	Generators of the group modulo torsion
j	306182024/21609	j-invariant
L	2.8169127688541	L(r)(E,1)/r!
Ω	0.85043076015184	Real period
R	0.82808410185889	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	2016d3 4032bi3 672h3 50400cw3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2016h2

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	2	-2	-4	0	-6	0	6	6	-8	8	-6	-12	10	-16	-8	-6	-8	-12	14	-6

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Quadratic twists for elliptic curve 2016h2

-4	8	-3	5	-7
2016d3	4032bi3	672h3	50400cw3	14112s3

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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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