Cremona's table of elliptic curves

968 = 2³ · 11²

Field	Data	Notes
Atkin-Lehner	2- 11+	Signs for the Atkin-Lehner involutions
Class	968c	Isogeny class
Conductor	968	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	-603634608896 = -1 · 28 · 119	Discriminant
Eigenvalues	2-  1  1  4 11+  4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1775,24451]	[a1,a2,a3,a4,a6]
j	1024	j-invariant
L	2.4087561043944	L(r)(E,1)/r!
Ω	0.6021890260986	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1936b1 7744b1 8712d1 24200b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 968c1

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
-	1	1	4	+	4	4	-4	-3	8	9	-5	-12	8	4	-10	7	-8	11	-9	4	8	0	-1	1

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Quadratic twists for elliptic curve 968c1

-4	8	-3	5	-7	-11
1936b1	7744b1	8712d1	24200b1	47432r1	968a1

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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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