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	2040p	Isogeny class
Conductor	2040	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	-69625856880 = -1 · 24 · 311 · 5 · 173	Discriminant
Eigenvalues	2- 3- 5-  3  5  0 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-95480,-11387667]	[a1,a2,a3,a4,a6]
j	-6016521998966814976/4351616055	j-invariant
L	2.987540073075	L(r)(E,1)/r!
Ω	0.13579727604886	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4080h1 16320d1 6120j1 10200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2040p1

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
-	-	-	3	5	0	+	-1	0	1	4	-5	-3	0	-7	9	-6	-4	-14	8	-3	-2	0	-2	14

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Quadratic twists for elliptic curve 2040p1

-4	8	-3	5	-7	17
4080h1	16320d1	6120j1	10200i1	99960ci1	34680bg1

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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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