Cremona's table of elliptic curves

5160 = 2³ · 3 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 43+	Signs for the Atkin-Lehner involutions
Class	5160d	Isogeny class
Conductor	5160	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	42535354521600 = 211 · 35 · 52 · 434	Discriminant
Eigenvalues	2+ 3- 5+  4  0  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-259816,50886320]	[a1,a2,a3,a4,a6]
j	947094050118111698/20769216075	j-invariant
L	2.9676281045134	L(r)(E,1)/r!
Ω	0.59352562090268	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	10320d3 41280v4 15480n3 25800x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5160d3

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

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Quadratic twists for elliptic curve 5160d3

-4	8	-3	5
10320d3	41280v4	15480n3	25800x4

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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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