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	14760o	Isogeny class
Conductor	14760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2.216208634681E+19	Discriminant
Eigenvalues	2- 3- 5+  2  2 -2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1406763,-600946938]	[a1,a2,a3,a4,a6]
Generators	[-17498293934:-27748160162:32461759]	Generators of the group modulo torsion
j	206219174047187922/14844075753125	j-invariant
L	5.0493677742865	L(r)(E,1)/r!
Ω	0.13925533602627	Real period
R	18.129889734832	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	29520h2 118080ca2 1640d2 73800p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14760o2

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

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Quadratic twists for elliptic curve 14760o2

-4	8	-3	5
29520h2	118080ca2	1640d2	73800p2

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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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