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	1806d	Isogeny class
Conductor	1806	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	3600	Modular degree for the optimal curve
Δ	1404930744 = 23 · 35 · 75 · 43	Discriminant
Eigenvalues	2+ 3- -3 7+  0  7 -5 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14655,-684038]	[a1,a2,a3,a4,a6]
Generators	[-70:36:1]	Generators of the group modulo torsion
j	348047549263412713/1404930744	j-invariant
L	2.2152712845253	L(r)(E,1)/r!
Ω	0.43391708887199	Real period
R	1.0210574053602	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14448u1 57792h1 5418r1 45150ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1806d1

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	+	0	7	-5	-3	1	-4	-1	-1	5	-	2	-13	1	-8	-5	-2	-6	-14	-4	2	-14

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Quadratic twists for elliptic curve 1806d1

-4	8	-3	5	-7	-43
14448u1	57792h1	5418r1	45150ce1	12642i1	77658bb1

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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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