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	14560b	Isogeny class
Conductor	14560	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	5730214651965440 = 212 · 5 · 73 · 138	Discriminant
Eigenvalues	2+  0 5+ 7- -4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-47228,-1530272]	[a1,a2,a3,a4,a6]
j	2844215035101504/1398978186515	j-invariant
L	1.0215201899744	L(r)(E,1)/r!
Ω	0.34050672999146	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14560j2 29120bd1 72800bm3 101920t3	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 14560b3

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	4	8	-10	0	2	2	-4	0	-6	4	-6	4	-4	-2	-4	-8	10	-18

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Quadratic twists for elliptic curve 14560b3

-4	8	5	-7
14560j2	29120bd1	72800bm3	101920t3

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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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