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	4060g	Isogeny class
Conductor	4060	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1.1196859022773E+19	Discriminant
Eigenvalues	2- -2 5- 7-  6  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,424220,121007028]	[a1,a2,a3,a4,a6]
j	32980416957927794864/43737730557705625	j-invariant
L	1.8353946587596	L(r)(E,1)/r!
Ω	0.15294955489663	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	16240r4 64960h4 36540i4 20300c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4060g4

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

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Quadratic twists for elliptic curve 4060g4

-4	8	-3	5	-7	29
16240r4	64960h4	36540i4	20300c4	28420c4	117740k4

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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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