Cremona's table of elliptic curves

1062 = 2 · 3² · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 59+	Signs for the Atkin-Lehner involutions
Class	1062h	Isogeny class
Conductor	1062	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-477012033126 = -1 · 2 · 39 · 594	Discriminant
Eigenvalues	2- 3- -2  0 -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1939,-5349]	[a1,a2,a3,a4,a6]
Generators	[414:3639:8]	Generators of the group modulo torsion
j	1106469823607/654337494	j-invariant
L	3.1564253471045	L(r)(E,1)/r!
Ω	0.54712297046813	Real period
R	5.7691332981391	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	8496v4 33984w3 354d4 26550g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062h4

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	0	-4	-6	-2	4	-8	-2	8	2	-2	0	-8	6	+	10	-8	12	-14	-16	-4	-6	2

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Quadratic twists for elliptic curve 1062h4

-4	8	-3	5	-7	-11	-59
8496v4	33984w3	354d4	26550g3	52038bq3	128502o3	62658i3

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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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