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	14280r	Isogeny class
Conductor	14280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1371137725440 = 210 · 38 · 5 · 74 · 17	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3136,-38416]	[a1,a2,a3,a4,a6]
Generators	[-28:168:1]	Generators of the group modulo torsion
j	3331888019716/1339001685	j-invariant
L	6.0686063987116	L(r)(E,1)/r!
Ω	0.66057948110321	Real period
R	0.57417451006205	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	28560b3 114240cg3 42840cm3 71400cl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280r3

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

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Quadratic twists for elliptic curve 14280r3

-4	8	-3	5	-7
28560b3	114240cg3	42840cm3	71400cl3	99960x3

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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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