Cremona's table of elliptic curves

14490 = 2 · 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 23+	Signs for the Atkin-Lehner involutions
Class	14490bt	Isogeny class
Conductor	14490	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	37485751353750 = 2 · 37 · 54 · 72 · 234	Discriminant
Eigenvalues	2- 3- 5- 7+ -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-16592,-763891]	[a1,a2,a3,a4,a6]
j	692895692874169/51420783750	j-invariant
L	3.3810261248687	L(r)(E,1)/r!
Ω	0.42262826560858	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	115920ff4 4830j3 72450bt4 101430dy4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bt3

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

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Quadratic twists for elliptic curve 14490bt3

-4	-3	5	-7
115920ff4	4830j3	72450bt4	101430dy4

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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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