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	20160m	Isogeny class
Conductor	20160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	423360 = 26 · 33 · 5 · 72	Discriminant
Eigenvalues	2+ 3+ 5- 7+  0  4  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27,44]	[a1,a2,a3,a4,a6]
j	1259712/245	j-invariant
L	2.8305563604421	L(r)(E,1)/r!
Ω	2.8305563604421	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20160u1 10080b2 20160a1 100800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160m1

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 20160m1

-4	8	-3	5
20160u1	10080b2	20160a1	100800r1

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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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