Cremona's table of elliptic curves

1752 = 2³ · 3 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 73-	Signs for the Atkin-Lehner involutions
Class	1752k	Isogeny class
Conductor	1752	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-523436378112 = -1 · 211 · 32 · 734	Discriminant
Eigenvalues	2- 3-  2  4 -4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1392,-40608]	[a1,a2,a3,a4,a6]
j	-145754986466/255584169	j-invariant
L	2.9517170879964	L(r)(E,1)/r!
Ω	0.36896463599955	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	3504f4 14016n4 5256h4 43800d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1752k4

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

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Quadratic twists for elliptic curve 1752k4

-4	8	-3	5	-7	73
3504f4	14016n4	5256h4	43800d3	85848n3	127896y3

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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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