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	14490bb	Isogeny class
Conductor	14490	Conductor
∏ cp	1152	Product of Tamagawa factors cp
Δ	6.6926123323201E+24	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2245670064,40961041011648]	[a1,a2,a3,a4,a6]
Generators	[-261114:71454477:8]	Generators of the group modulo torsion
j	1718043013877225552292911401729/9180538178765625000000	j-invariant
L	3.8671717329613	L(r)(E,1)/r!
Ω	0.066484157776022	Real period
R	7.2708519260886	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	12	Number of elements in the torsion subgroup
Twists	115920dy6 4830bc6 72450df6 101430bi6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bb6

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

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Quadratic twists for elliptic curve 14490bb6

-4	-3	5	-7
115920dy6	4830bc6	72450df6	101430bi6

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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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