Cremona's table of elliptic curves

14144 = 2⁶ · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 13- 17-	Signs for the Atkin-Lehner involutions
Class	14144bf	Isogeny class
Conductor	14144	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-267337673015296 = -1 · 216 · 132 · 176	Discriminant
Eigenvalues	2- -2 -2 -2 -2 13- 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7871,741951]	[a1,a2,a3,a4,a6]
Generators	[-47:520:1] [5:884:1]	Generators of the group modulo torsion
j	822769797308/4079249161	j-invariant
L	4.2600951703035	L(r)(E,1)/r!
Ω	0.39626108058161	Real period
R	1.791788031959	Regulator
r	2	Rank of the group of rational points
S	0.99999999999996	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14144n2 3536d2 127296cy2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14144bf2

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

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Quadratic twists for elliptic curve 14144bf2

-4	8	-3
14144n2	3536d2	127296cy2

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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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