Cremona's table of elliptic curves

2046 = 2 · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 31-	Signs for the Atkin-Lehner involutions
Class	2046j	Isogeny class
Conductor	2046	Conductor
∏ cp	672	Product of Tamagawa factors cp
Δ	67244278190817024 = 28 · 314 · 116 · 31	Discriminant
Eigenvalues	2- 3- -2 -2 11- -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-102969,-2474631]	[a1,a2,a3,a4,a6]
Generators	[360:-2853:1]	Generators of the group modulo torsion
j	120737856347074599697/67244278190817024	j-invariant
L	4.3590633944629	L(r)(E,1)/r!
Ω	0.28593789239676	Real period
R	0.090742803277778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368n2 65472d2 6138f2 51150j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046j2

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

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Quadratic twists for elliptic curve 2046j2

-4	8	-3	5	-7	-11	-31
16368n2	65472d2	6138f2	51150j2	100254br2	22506r2	63426v2

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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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