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	1806h	Isogeny class
Conductor	1806	Conductor
∏ cp	19	Product of Tamagawa factors cp
deg	95760	Modular degree for the optimal curve
Δ	1.904231435577E+20	Discriminant
Eigenvalues	2- 3+  3 7+  6  1 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1664354,491470703]	[a1,a2,a3,a4,a6]
j	509871621645082002682657/190423143557704974336	j-invariant
L	3.1123133474136	L(r)(E,1)/r!
Ω	0.16380596565335	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	14448bg1 57792bm1 5418e1 45150bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1806h1

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	+	6	1	-3	1	3	-2	-5	-5	-1	+	10	11	9	-14	9	-2	-10	0	-4	4	-4

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Quadratic twists for elliptic curve 1806h1

-4	8	-3	5	-7	-43
14448bg1	57792bm1	5418e1	45150bi1	12642bl1	77658u1

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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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