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	2040f	Isogeny class
Conductor	2040	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	1.6925166129878E+21	Discriminant
Eigenvalues	2+ 3- 5+ -4  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3135656,-807066000]	[a1,a2,a3,a4,a6]
j	1664865424893526702418/826424127435466125	j-invariant
L	1.6716905895835	L(r)(E,1)/r!
Ω	0.11940647068454	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	4080d4 16320p3 6120z4 10200bd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2040f3

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

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Quadratic twists for elliptic curve 2040f3

-4	8	-3	5	-7	17
4080d4	16320p3	6120z4	10200bd3	99960s3	34680l3

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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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