Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2- 17+	Signs for the Atkin-Lehner involutions
Class	1088g	Isogeny class
Conductor	1088	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	37879808 = 217 · 172	Discriminant
Eigenvalues	2-  2  0  0  2  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-193,-927]	[a1,a2,a3,a4,a6]
j	6097250/289	j-invariant
L	2.5681878141027	L(r)(E,1)/r!
Ω	1.2840939070514	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1088d2 272a2 9792bu2 27200cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088g2

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	0	2	6	+	4	-4	0	8	4	6	8	8	-10	0	-12	8	-12	2	4	16	10	-18

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Quadratic twists for elliptic curve 1088g2

-4	8	-3	5	-7	17
1088d2	272a2	9792bu2	27200cm2	53312cg2	18496r2

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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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