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	4060b	Isogeny class
Conductor	4060	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-37307318693120 = -1 · 28 · 5 · 72 · 296	Discriminant
Eigenvalues	2-  0 5+ 7+ -2  6  8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6823,365262]	[a1,a2,a3,a4,a6]
Generators	[14:522:1]	Generators of the group modulo torsion
j	-137217613147344/145731713645	j-invariant
L	3.2508480356148	L(r)(E,1)/r!
Ω	0.5902873618692	Real period
R	1.8357432021587	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	16240p2 64960k2 36540k2 20300j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4060b2

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	+	+	-2	6	8	-6	0	-	-10	8	2	-8	-4	10	4	-14	12	-4	-4	-14	-4	10	-16

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Quadratic twists for elliptic curve 4060b2

-4	8	-3	5	-7	29
16240p2	64960k2	36540k2	20300j2	28420i2	117740a2

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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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