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	20160ca	Isogeny class
Conductor	20160	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	367416000000000000 = 215 · 38 · 512 · 7	Discriminant
Eigenvalues	2+ 3- 5- 7+  4  2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-211692,23556976]	[a1,a2,a3,a4,a6]
Generators	[117:625:1]	Generators of the group modulo torsion
j	43919722445768/15380859375	j-invariant
L	5.7554017983958	L(r)(E,1)/r!
Ω	0.27713840533224	Real period
R	1.7306039412257	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	20160co4 10080bn2 6720r4 100800fk3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160ca3

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

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Quadratic twists for elliptic curve 20160ca3

-4	8	-3	5
20160co4	10080bn2	6720r4	100800fk3

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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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