Cremona's table of elliptic curves

1088 = 2⁶ · 17

Field	Data	Notes
Atkin-Lehner	2- 17-	Signs for the Atkin-Lehner involutions
Class	1088m	Isogeny class
Conductor	1088	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	278528 = 214 · 17	Discriminant
Eigenvalues	2- -2  2  2 -6 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-17,-17]	[a1,a2,a3,a4,a6]
Generators	[-3:4:1]	Generators of the group modulo torsion
j	35152/17	j-invariant
L	2.099560280152	L(r)(E,1)/r!
Ω	2.4558267260452	Real period
R	0.85493013732817	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	1088f1 272c1 9792br1 27200cb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088m1

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	-6	-2	-	0	-6	10	-2	-6	-6	-8	0	10	-8	-14	4	-2	-14	10	8	-10	2

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Quadratic twists for elliptic curve 1088m1

-4	8	-3	5	-7	17
1088f1	272c1	9792br1	27200cb1	53312bv1	18496p1

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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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