Cremona's table of elliptic curves

3066 = 2 · 3 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 73-	Signs for the Atkin-Lehner involutions
Class	3066h	Isogeny class
Conductor	3066	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1840	Modular degree for the optimal curve
Δ	-14722932 = -1 · 22 · 3 · 75 · 73	Discriminant
Eigenvalues	2- 3-  0 7+  0  1  6  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4078,99896]	[a1,a2,a3,a4,a6]
j	-7500185978118625/14722932	j-invariant
L	3.8126365985682	L(r)(E,1)/r!
Ω	1.9063182992841	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	24528k1 98112e1 9198c1 76650e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3066h1

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	1	6	1	5	-5	2	7	-9	11	4	3	-5	0	-4	-3	-	6	5	1	12

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Quadratic twists for elliptic curve 3066h1

-4	8	-3	5	-7
24528k1	98112e1	9198c1	76650e1	21462x1

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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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