Cremona's table of elliptic curves

20160 = 2⁶ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7+	Signs for the Atkin-Lehner involutions
Class	20160ce	Isogeny class
Conductor	20160	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	68825736806400 = 219 · 37 · 52 · 74	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1106380812,14164624511984]	[a1,a2,a3,a4,a6]
Generators	[23048:952940:1]	Generators of the group modulo torsion
j	783736670177727068275201/360150	j-invariant
L	5.0379311388349	L(r)(E,1)/r!
Ω	0.17591536181282	Real period
R	7.159595226532	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20160ff7 630c7 6720c7 100800fr8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160ce7

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	-2	-4	8	-2	0	-6	6	4	0	-10	12	-14	12	8	10	16	-12	-10	2

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Quadratic twists for elliptic curve 20160ce7

-4	8	-3	5
20160ff7	630c7	6720c7	100800fr8

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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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