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	14490bc	Isogeny class
Conductor	14490	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-468464789775150 = -1 · 2 · 314 · 52 · 7 · 234	Discriminant
Eigenvalues	2+ 3- 5- 7-  0 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,8766,990090]	[a1,a2,a3,a4,a6]
Generators	[61:1292:1]	Generators of the group modulo torsion
j	102181603702751/642612880350	j-invariant
L	3.8458729196103	L(r)(E,1)/r!
Ω	0.38123958609789	Real period
R	1.2609763846188	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	115920ea3 4830bd4 72450di3 101430bl3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bc4

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

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Quadratic twists for elliptic curve 14490bc4

-4	-3	5	-7
115920ea3	4830bd4	72450di3	101430bl3

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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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