Cremona's table of elliptic curves

1806 = 2 · 3 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 43-	Signs for the Atkin-Lehner involutions
Class	1806c	Isogeny class
Conductor	1806	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	884737728 = 26 · 38 · 72 · 43	Discriminant
Eigenvalues	2+ 3-  0 7+  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14666,682364]	[a1,a2,a3,a4,a6]
Generators	[117:-815:1]	Generators of the group modulo torsion
j	348831893748633625/884737728	j-invariant
L	2.5203693470188	L(r)(E,1)/r!
Ω	1.3666188660167	Real period
R	0.23052964964228	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	14448r2 57792a2 5418o2 45150cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1806c2

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	+	0	-2	-2	0	-8	2	2	2	-10	-	2	2	-14	-8	-8	-8	12	4	14	-16	10

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Quadratic twists for elliptic curve 1806c2

-4	8	-3	5	-7	-43
14448r2	57792a2	5418o2	45150cd2	12642h2	77658ba2

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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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