Cremona's table of elliptic curves

10920 = 2³ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	10920i	Isogeny class
Conductor	10920	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	647232768000 = 211 · 34 · 53 · 74 · 13	Discriminant
Eigenvalues	2+ 3- 5- 7-  4 13+ -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-69480,-7072272]	[a1,a2,a3,a4,a6]
j	18112543427820242/316031625	j-invariant
L	3.5287084875975	L(r)(E,1)/r!
Ω	0.29405904063312	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	21840f4 87360s4 32760bh4 54600bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920i3

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

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Quadratic twists for elliptic curve 10920i3

-4	8	-3	5	-7
21840f4	87360s4	32760bh4	54600bo4	76440l4

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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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