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	14490bk	Isogeny class
Conductor	14490	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	60858000 = 24 · 33 · 53 · 72 · 23	Discriminant
Eigenvalues	2- 3+ 5- 7- -4  0 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-152,651]	[a1,a2,a3,a4,a6]
Generators	[-9:39:1]	Generators of the group modulo torsion
j	14295828483/2254000	j-invariant
L	7.6597441439007	L(r)(E,1)/r!
Ω	1.8870057101372	Real period
R	0.33826713324853	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	115920cm1 14490d1 72450d1 101430db1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bk1

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

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Quadratic twists for elliptic curve 14490bk1

-4	-3	5	-7
115920cm1	14490d1	72450d1	101430db1

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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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