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	1062c	Isogeny class
Conductor	1062	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	516132 = 22 · 37 · 59	Discriminant
Eigenvalues	2+ 3-  0  0 -4  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-27,49]	[a1,a2,a3,a4,a6]
Generators	[-4:11:1]	Generators of the group modulo torsion
j	3048625/708	j-invariant
L	1.8971710491882	L(r)(E,1)/r!
Ω	2.7613205758261	Real period
R	0.34352604072793	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	8496l1 33984g1 354a1 26550bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1062c1

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

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Quadratic twists for elliptic curve 1062c1

-4	8	-3	5	-7	-11	-59
8496l1	33984g1	354a1	26550bu1	52038g1	128502bw1	62658r1

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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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