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	14280bg	Isogeny class
Conductor	14280	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	3.8401267210454E+19	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4 -6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-57839216,-169290108420]	[a1,a2,a3,a4,a6]
Generators	[21526:2925692:1]	Generators of the group modulo torsion
j	20897337443861342232441796/37501237510209375	j-invariant
L	3.8626271387354	L(r)(E,1)/r!
Ω	0.054744942181582	Real period
R	5.8797321189411	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	28560bh4 114240es4 42840be4 71400bk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bg3

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

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Quadratic twists for elliptic curve 14280bg3

-4	8	-3	5	-7
28560bh4	114240es4	42840be4	71400bk4	99960dr4

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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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