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	14280a	Isogeny class
Conductor	14280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	777288960 = 28 · 36 · 5 · 72 · 17	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  2  4 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-516,-4140]	[a1,a2,a3,a4,a6]
Generators	[-14:12:1]	Generators of the group modulo torsion
j	59466754384/3036285	j-invariant
L	3.8488037840809	L(r)(E,1)/r!
Ω	1.0047145661462	Real period
R	1.915371745253	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	28560bl2 114240ec2 42840cd2 71400du2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280a2

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
+	+	+	+	2	4	+	4	0	-4	-2	-6	-6	-8	0	12	4	-8	8	-2	-2	-8	-16	14	-2

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Quadratic twists for elliptic curve 14280a2

-4	8	-3	5	-7
28560bl2	114240ec2	42840cd2	71400du2	99960bt2

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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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