Cremona's table of elliptic curves

14016 = 2⁶ · 3 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 73-	Signs for the Atkin-Lehner involutions
Class	14016bd	Isogeny class
Conductor	14016	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2291372457984 = 216 · 38 · 732	Discriminant
Eigenvalues	2+ 3- -2  0  0  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7969,261311]	[a1,a2,a3,a4,a6]
Generators	[-85:576:1]	Generators of the group modulo torsion
j	854102039332/34963569	j-invariant
L	5.134543957622	L(r)(E,1)/r!
Ω	0.81205363672293	Real period
R	1.5807280841517	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14016bp2 1752g2 42048y2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14016bd2

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

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Quadratic twists for elliptic curve 14016bd2

-4	8	-3
14016bp2	1752g2	42048y2

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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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