Cremona's table of elliptic curves

4046 = 2 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	4046i	Isogeny class
Conductor	4046	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4731041584898146 = -1 · 2 · 78 · 177	Discriminant
Eigenvalues	2-  0 -2 7+  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,37949,-1699099]	[a1,a2,a3,a4,a6]
j	250404380127/196003234	j-invariant
L	1.9318721215815	L(r)(E,1)/r!
Ω	0.24148401519768	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	32368w3 129472b3 36414s3 101150o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4046i4

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

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Quadratic twists for elliptic curve 4046i4

-4	8	-3	5	-7	17
32368w3	129472b3	36414s3	101150o3	28322t3	238c4

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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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