Cremona's table of elliptic curves

14280 = 2³ · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	14280bw	Isogeny class
Conductor	14280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6160402053120 = 211 · 3 · 5 · 74 · 174	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5360,90720]	[a1,a2,a3,a4,a6]
Generators	[63:84:1]	Generators of the group modulo torsion
j	8317046918882/3008008815	j-invariant
L	6.0632178177397	L(r)(E,1)/r!
Ω	0.69119987796413	Real period
R	4.3860090337389	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	28560y3 114240i3 42840f3 71400c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bw3

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
-	-	-	+	0	-2	-	4	-4	6	-8	6	-6	-12	-12	-2	0	6	-4	0	-14	-4	4	6	2

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Quadratic twists for elliptic curve 14280bw3

-4	8	-3	5	-7
28560y3	114240i3	42840f3	71400c3	99960by3

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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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