Cremona's table of elliptic curves

4060 = 2² · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 29+	Signs for the Atkin-Lehner involutions
Class	4060c	Isogeny class
Conductor	4060	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	298765250000 = 24 · 56 · 72 · 293	Discriminant
Eigenvalues	2- -2 5+ 7- -6  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8421,-299096]	[a1,a2,a3,a4,a6]
Generators	[1802:24375:8]	Generators of the group modulo torsion
j	4128062873534464/18672828125	j-invariant
L	2.2939579976278	L(r)(E,1)/r!
Ω	0.4985084773585	Real period
R	4.6016429044158	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	16240j3 64960x3 36540r3 20300d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4060c3

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

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Quadratic twists for elliptic curve 4060c3

-4	8	-3	5	-7	29
16240j3	64960x3	36540r3	20300d3	28420g3	117740e3

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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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