Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2+ 17+	Signs for the Atkin-Lehner involutions
Class	1088c	Isogeny class
Conductor	1088	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	606076928 = 221 · 172	Discriminant
Eigenvalues	2+  2  0 -4 -6 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2753,56513]	[a1,a2,a3,a4,a6]
Generators	[49:192:1]	Generators of the group modulo torsion
j	8805624625/2312	j-invariant
L	2.9793757807746	L(r)(E,1)/r!
Ω	1.589457011984	Real period
R	0.93723068894312	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	1088i2 34a2 9792v2 27200z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088c2

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
+	2	0	-4	-6	-2	+	4	0	0	-4	4	6	-8	0	6	0	4	-8	0	2	8	0	-6	14

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Quadratic twists for elliptic curve 1088c2

-4	8	-3	5	-7	17
1088i2	34a2	9792v2	27200z2	53312ba2	18496g2

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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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