Cremona's table of elliptic curves

1060 = 2² · 5 · 53

Field	Data	Notes
Atkin-Lehner	2- 5+ 53-	Signs for the Atkin-Lehner involutions
Class	1060a	Isogeny class
Conductor	1060	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-8480000 = -1 · 28 · 54 · 53	Discriminant
Eigenvalues	2-  1 5+ -2 -2  5 -7  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,44,100]	[a1,a2,a3,a4,a6]
Generators	[12:50:1]	Generators of the group modulo torsion
j	35969456/33125	j-invariant
L	2.6201718896573	L(r)(E,1)/r!
Ω	1.5195552875802	Real period
R	0.2873836302714	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	4240d1 16960f1 9540d1 5300b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1060a1

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
-	1	+	-2	-2	5	-7	7	-5	-7	-8	1	-10	-4	-2	-	6	6	4	5	-10	-1	3	6	1

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Quadratic twists for elliptic curve 1060a1

-4	8	-3	5	-7	-11	53
4240d1	16960f1	9540d1	5300b1	51940i1	128260d1	56180c1

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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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