Cremona's table of elliptic curves

14760 = 2³ · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	14760n	Isogeny class
Conductor	14760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	94923867755520 = 210 · 38 · 5 · 414	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13683,399742]	[a1,a2,a3,a4,a6]
Generators	[123:760:1]	Generators of the group modulo torsion
j	379524841924/127159245	j-invariant
L	4.3950610490103	L(r)(E,1)/r!
Ω	0.5534282787317	Real period
R	3.9707593720026	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	29520f4 118080by4 4920c3 73800m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14760n3

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	-4	2	2	4	4	-6	0	-2	+	0	-8	-10	12	-2	12	0	10	-16	-8	6	-2

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Quadratic twists for elliptic curve 14760n3

-4	8	-3	5
29520f4	118080by4	4920c3	73800m4

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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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