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	14280o	Isogeny class
Conductor	14280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2418232320 = 210 · 34 · 5 · 73 · 17	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-621976,188595680]	[a1,a2,a3,a4,a6]
j	25986353070364640356/2361555	j-invariant
L	1.6249912454766	L(r)(E,1)/r!
Ω	0.81249562273828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28560k4 114240bs4 42840cg4 71400cx4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280o3

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

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Quadratic twists for elliptic curve 14280o3

-4	8	-3	5	-7
28560k4	114240bs4	42840cg4	71400cx4	99960y4

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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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