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	20160cb	Isogeny class
Conductor	20160	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-41312648518041600 = -1 · 217 · 37 · 52 · 78	Discriminant
Eigenvalues	2+ 3- 5- 7+  4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,86388,-345616]	[a1,a2,a3,a4,a6]
Generators	[148:3960:1]	Generators of the group modulo torsion
j	746185003198/432360075	j-invariant
L	5.7558775465826	L(r)(E,1)/r!
Ω	0.21526638911612	Real period
R	3.3422992612875	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	20160fh6 2520f6 6720e6 100800fi5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160cb6

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	-4	0	-2	8	2	-2	-4	0	-10	-12	-6	-12	0	-6	-8	4	-2	-14

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Quadratic twists for elliptic curve 20160cb6

-4	8	-3	5
20160fh6	2520f6	6720e6	100800fi5

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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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