Cremona's table of elliptic curves

2040 = 2³ · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Class	2040j	Isogeny class
Conductor	2040	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	288648576000 = 210 · 33 · 53 · 174	Discriminant
Eigenvalues	2- 3+ 5+  0 -4  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-72096,-7426980]	[a1,a2,a3,a4,a6]
j	40472803590982276/281883375	j-invariant
L	1.1654172257314	L(r)(E,1)/r!
Ω	0.29135430643284	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4080l3 16320bh3 6120m3 10200r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2040j3

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

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Quadratic twists for elliptic curve 2040j3

-4	8	-3	5	-7	17
4080l3	16320bh3	6120m3	10200r3	99960du4	34680bw4

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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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