Cremona's table of elliptic curves

1032 = 2³ · 3 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 43+	Signs for the Atkin-Lehner involutions
Class	1032b	Isogeny class
Conductor	1032	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-178054972416 = -1 · 210 · 37 · 433	Discriminant
Eigenvalues	2- 3+  1  3  1  1 -4  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-400,20668]	[a1,a2,a3,a4,a6]
j	-6929294404/173881809	j-invariant
L	1.6989389496849	L(r)(E,1)/r!
Ω	0.84946947484246	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	2064b1 8256t1 3096c1 25800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1032b1

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	3	1	1	-4	5	4	-3	2	6	0	+	3	4	4	4	14	-4	4	10	5	-6	-7

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Quadratic twists for elliptic curve 1032b1

-4	8	-3	5	-7	-11	-43
2064b1	8256t1	3096c1	25800r1	50568s1	124872h1	44376e1

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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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