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	14490br	Isogeny class
Conductor	14490	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	36443074500 = 22 · 39 · 53 · 7 · 232	Discriminant
Eigenvalues	2- 3- 5+ 7-  2 -6  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4568,119607]	[a1,a2,a3,a4,a6]
Generators	[17:207:1]	Generators of the group modulo torsion
j	14457238157881/49990500	j-invariant
L	7.073783835512	L(r)(E,1)/r!
Ω	1.1622523568592	Real period
R	1.5215679696765	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	115920cw1 4830g1 72450x1 101430fg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490br1

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

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Quadratic twists for elliptic curve 14490br1

-4	-3	5	-7
115920cw1	4830g1	72450x1	101430fg1

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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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