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	1062b	Isogeny class
Conductor	1062	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	-49548672 = -1 · 27 · 38 · 59	Discriminant
Eigenvalues	2+ 3-  4 -1  3 -1  7 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-45,-347]	[a1,a2,a3,a4,a6]
j	-13997521/67968	j-invariant
L	1.6647873239398	L(r)(E,1)/r!
Ω	0.83239366196991	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	8496x1 33984z1 354f1 26550bp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062b1

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	-1	3	-1	7	-4	-2	2	0	7	-3	5	-12	8	+	-14	-4	15	-4	5	-1	-4	-4

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Quadratic twists for elliptic curve 1062b1

-4	8	-3	5	-7	-11	-59
8496x1	33984z1	354f1	26550bp1	52038w1	128502bv1	62658y1

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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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