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	14280bf	Isogeny class
Conductor	14280	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	21685421483550720 = 211 · 32 · 5 · 712 · 17	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-71856,-2159604]	[a1,a2,a3,a4,a6]
Generators	[-55:1274:1]	Generators of the group modulo torsion
j	20034980170130018/10588584708765	j-invariant
L	4.3884490257751	L(r)(E,1)/r!
Ω	0.30946956833341	Real period
R	2.3634251823253	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	28560bg3 114240et3 42840bd3 71400bl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bf3

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

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Quadratic twists for elliptic curve 14280bf3

-4	8	-3	5	-7
28560bg3	114240et3	42840bd3	71400bl3	99960ds3

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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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