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	20160a	Isogeny class
Conductor	20160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	308629440 = 26 · 39 · 5 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0  4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-243,-1188]	[a1,a2,a3,a4,a6]
Generators	[-46:35:8]	Generators of the group modulo torsion
j	1259712/245	j-invariant
L	4.7657375394174	L(r)(E,1)/r!
Ω	1.2255722215893	Real period
R	3.8885815584472	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	20160i1 10080bi2 20160m1 100800q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160a1

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

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Quadratic twists for elliptic curve 20160a1

-4	8	-3	5
20160i1	10080bi2	20160m1	100800q1

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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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