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	14280bt	Isogeny class
Conductor	14280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3134745600 = 210 · 3 · 52 · 74 · 17	Discriminant
Eigenvalues	2- 3- 5+ 7+  0  6 17+  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-27216,1719120]	[a1,a2,a3,a4,a6]
Generators	[104:156:1]	Generators of the group modulo torsion
j	2177271568809796/3061275	j-invariant
L	5.5977676860666	L(r)(E,1)/r!
Ω	1.2057850473965	Real period
R	2.3212129301791	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	28560h4 114240bp4 42840z4 71400p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bt3

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

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Quadratic twists for elliptic curve 14280bt3

-4	8	-3	5	-7
28560h4	114240bp4	42840z4	71400p4	99960ct4

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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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