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	14016cc	Isogeny class
Conductor	14016	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	10240	Modular degree for the optimal curve
Δ	7847165952 = 214 · 38 · 73	Discriminant
Eigenvalues	2- 3- -2 -4 -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-529,1775]	[a1,a2,a3,a4,a6]
Generators	[-22:57:1] [-7:72:1]	Generators of the group modulo torsion
j	1001132368/478953	j-invariant
L	6.4436766304641	L(r)(E,1)/r!
Ω	1.1719749078962	Real period
R	0.68726691448878	Regulator
r	2	Rank of the group of rational points
S	0.99999999999988	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14016n1 3504f1 42048ch1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14016cc1

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

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Quadratic twists for elliptic curve 14016cc1

-4	8	-3
14016n1	3504f1	42048ch1

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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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