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	20160d	Isogeny class
Conductor	20160	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	4838400 = 210 · 33 · 52 · 7	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  0 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48,72]	[a1,a2,a3,a4,a6]
Generators	[-6:12:1]	Generators of the group modulo torsion
j	442368/175	j-invariant
L	4.8708465720758	L(r)(E,1)/r!
Ω	2.2138581625327	Real period
R	1.1000809931074	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	20160cz1 1260c1 20160r1 100800y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160d1

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

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Quadratic twists for elliptic curve 20160d1

-4	8	-3	5
20160cz1	1260c1	20160r1	100800y1

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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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