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	18	Product of Tamagawa factors cp
Δ	369232640 = 28 · 5 · 73 · 292	Discriminant
Eigenvalues	2- -2 5+ 7- -6  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9156,334180]	[a1,a2,a3,a4,a6]
Generators	[224:3094:1]	Generators of the group modulo torsion
j	331625968043344/1442315	j-invariant
L	2.2939579976278	L(r)(E,1)/r!
Ω	1.4955254320755	Real period
R	3.0677619362772	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	16240j2 64960x2 36540r2 20300d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4060c2

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 4060c2

-4	8	-3	5	-7	29
16240j2	64960x2	36540r2	20300d2	28420g2	117740e2

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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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