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	14016bn	Isogeny class
Conductor	14016	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	-3069504 = -1 · 26 · 32 · 732	Discriminant
Eigenvalues	2- 3+  2 -2 -2 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,90]	[a1,a2,a3,a4,a6]
Generators	[-1:10:1]	Generators of the group modulo torsion
j	-3241792/47961	j-invariant
L	4.2502470370176	L(r)(E,1)/r!
Ω	2.1395442769543	Real period
R	1.9865197849833	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	14016cb1 7008g2 42048cj1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14016bn1

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	-2	-2	-2	6	4	-4	10	-6	-10	6	-6	6	2	2	-2	4	-8	-	-12	-6	-6	-10

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Quadratic twists for elliptic curve 14016bn1

-4	8	-3
14016cb1	7008g2	42048cj1

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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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