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	20160b	Isogeny class
Conductor	20160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2904249600000000 = 214 · 33 · 58 · 75	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  2  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1073148,-427887472]	[a1,a2,a3,a4,a6]
Generators	[217420458983:-11829073931875:65450827]	Generators of the group modulo torsion
j	308971819397054448/6565234375	j-invariant
L	5.0589676823774	L(r)(E,1)/r!
Ω	0.14833211980529	Real period
R	17.052839563737	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	20160cx2 2520b2 20160o2 100800u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160b2

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
+	+	+	+	2	6	2	-4	2	0	4	-10	-10	-12	12	-4	-4	-6	4	-2	6	8	-16	-18	6

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Quadratic twists for elliptic curve 20160b2

-4	8	-3	5
20160cx2	2520b2	20160o2	100800u2

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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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