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	12655037775872 = 219 · 176	Discriminant
Eigenvalues	2+  2  0 -4 -6 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7233,-161215]	[a1,a2,a3,a4,a6]
Generators	[113:672:1]	Generators of the group modulo torsion
j	159661140625/48275138	j-invariant
L	2.9793757807746	L(r)(E,1)/r!
Ω	0.52981900399468	Real period
R	2.8116920668294	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	1088i4 34a4 9792v4 27200z4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1088c4

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 1088c4

-4	8	-3	5	-7	17
1088i4	34a4	9792v4	27200z4	53312ba4	18496g4

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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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