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	1062f	Isogeny class
Conductor	1062	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2013465019372259328 = -1 · 211 · 324 · 592	Discriminant
Eigenvalues	2+ 3- -4  0  4  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-119439,70124269]	[a1,a2,a3,a4,a6]
Generators	[599:14303:1]	Generators of the group modulo torsion
j	-258485808917791729/2761954759084032	j-invariant
L	1.6221346961937	L(r)(E,1)/r!
Ω	0.22310556505661	Real period
R	3.6353523852757	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	8496t2 33984r2 354e2 26550bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062f2

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
+	-	-4	0	4	0	2	4	-4	-4	-10	-4	2	-12	-4	0	-	4	-8	-6	-14	8	4	18	14

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Quadratic twists for elliptic curve 1062f2

-4	8	-3	5	-7	-11	-59
8496t2	33984r2	354e2	26550bs2	52038r2	128502ch2	62658bb2

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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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