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	14560d	Isogeny class
Conductor	14560	Conductor
∏ cp	100	Product of Tamagawa factors cp
Δ	2.9657442208079E+19	Discriminant
Eigenvalues	2+ -2 5+ 7- -4 13- -8 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-798096,81343804]	[a1,a2,a3,a4,a6]
Generators	[-265:16562:1]	Generators of the group modulo torsion
j	109804388523871676552/57924691812653575	j-invariant
L	2.4191199768258	L(r)(E,1)/r!
Ω	0.18369326481514	Real period
R	0.52677379962956	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	14560k2 29120z2 72800bh2 101920o2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 14560d2

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

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Quadratic twists for elliptic curve 14560d2

-4	8	5	-7
14560k2	29120z2	72800bh2	101920o2

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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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