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	1062g	Isogeny class
Conductor	1062	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1503792 = 24 · 33 · 592	Discriminant
Eigenvalues	2- 3+  0 -4 -4 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-260,-1545]	[a1,a2,a3,a4,a6]
Generators	[-9:5:1]	Generators of the group modulo torsion
j	71732023875/55696	j-invariant
L	3.222880800219	L(r)(E,1)/r!
Ω	1.1893427666491	Real period
R	0.67744995189641	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	8496j2 33984a2 1062a2 26550e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062g2

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	-4	-4	-2	-4	0	0	4	-2	-6	8	-6	0	8	-	-6	-2	-4	6	0	-4	2	-18

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Quadratic twists for elliptic curve 1062g2

-4	8	-3	5	-7	-11	-59
8496j2	33984a2	1062a2	26550e2	52038x2	128502f2	62658a2

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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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