Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2- 17-	Signs for the Atkin-Lehner involutions
Class	1088l	Isogeny class
Conductor	1088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-18496 = -1 · 26 · 172	Discriminant
Eigenvalues	2-  2 -2 -2 -2 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4,-6]	[a1,a2,a3,a4,a6]
Generators	[330:2091:8]	Generators of the group modulo torsion
j	-140608/289	j-invariant
L	2.8845933492745	L(r)(E,1)/r!
Ω	1.5529919197499	Real period
R	3.7148852000968	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	1088n1 544c2 9792bo1 27200cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088l1

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

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Quadratic twists for elliptic curve 1088l1

-4	8	-3	5	-7	17
1088n1	544c2	9792bo1	27200cc1	53312bw1	18496t1

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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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