Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17+	Signs for the Atkin-Lehner involutions
Class	1088a	Isogeny class
Conductor	1088	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-9469952 = -1 · 215 · 172	Discriminant
Eigenvalues	2+  0  0  2 -4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,20,-144]	[a1,a2,a3,a4,a6]
Generators	[5:9:1]	Generators of the group modulo torsion
j	27000/289	j-invariant
L	2.5077049444601	L(r)(E,1)/r!
Ω	1.1344189483605	Real period
R	2.2105633444189	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	1088b2 544d2 9792s2 27200s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088a2

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	2	-4	-2	+	-4	6	-8	-2	-4	-2	4	12	6	-4	-4	-4	-6	-6	-10	12	-10	-10

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Quadratic twists for elliptic curve 1088a2

-4	8	-3	5	-7	17
1088b2	544d2	9792s2	27200s2	53312r2	18496b2

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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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