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	10920o	Isogeny class
Conductor	10920	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-59202472807296000 = -1 · 210 · 34 · 53 · 7 · 138	Discriminant
Eigenvalues	2- 3- 5+ 7+  4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-67016,13454784]	[a1,a2,a3,a4,a6]
Generators	[400:7128:1]	Generators of the group modulo torsion
j	-32506165579682596/57814914850875	j-invariant
L	5.1662148198443	L(r)(E,1)/r!
Ω	0.31411257568337	Real period
R	4.1117542083478	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	21840c3 87360ba3 32760p3 54600l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920o4

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	+	-2	0	4	-10	-4	6	-2	-4	0	-14	4	-10	-4	0	-2	0	12	-2	-2

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Quadratic twists for elliptic curve 10920o4

-4	8	-3	5	-7
21840c3	87360ba3	32760p3	54600l3	76440ci3

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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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