Cremona's table of elliptic curves

11094 = 2 · 3 · 43²

Field	Data	Notes
Atkin-Lehner	2+ 3- 43-	Signs for the Atkin-Lehner involutions
Class	11094j	Isogeny class
Conductor	11094	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1.4004240539008E+19	Discriminant
Eigenvalues	2+ 3-  2 -4  4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-562135,242302178]	[a1,a2,a3,a4,a6]
Generators	[21830:1517221:125]	Generators of the group modulo torsion
j	-3107661785857/2215383048	j-invariant
L	4.4298212828533	L(r)(E,1)/r!
Ω	0.20525101886042	Real period
R	5.3956142428042	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	88752u3 33282be3 258d4	Quadratic twists by: -4 -3 -43

Hecke Eigenvalues for elliptic curve 11094j4

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	-4	4	6	-6	4	-4	-6	-8	-2	2	-	4	-6	-12	-10	12	8	6	-16	-12	-10	2

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Quadratic twists for elliptic curve 11094j4

-4	-3	-43
88752u3	33282be3	258d4

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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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