Cremona's table of elliptic curves

14560 = 2⁵ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	14560f	Isogeny class
Conductor	14560	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-15136873024000000 = -1 · 212 · 56 · 72 · 136	Discriminant
Eigenvalues	2+ -2 5- 7+  2 13- -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-365905,85275903]	[a1,a2,a3,a4,a6]
Generators	[146:5915:1]	Generators of the group modulo torsion
j	-1322726283049957696/3695525640625	j-invariant
L	3.5258716593094	L(r)(E,1)/r!
Ω	0.39507607154574	Real period
R	0.24790385062316	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	14560h2 29120bj1 72800br2 101920c2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 14560f2

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	6	2	2	-10	10	-10	-2	-8	-14	-14	10	4	-6	6	-4	-16	6	10

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Quadratic twists for elliptic curve 14560f2

-4	8	5	-7
14560h2	29120bj1	72800br2	101920c2

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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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