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	2	Product of Tamagawa factors cp
Δ	6523646666568 = 23 · 3 · 437	Discriminant
Eigenvalues	2+ 3-  2 -4  4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-10176935,12495225794]	[a1,a2,a3,a4,a6]
Generators	[617238308396591920:-320838368856096078:335050713371375]	Generators of the group modulo torsion
j	18440127492397057/1032	j-invariant
L	4.4298212828533	L(r)(E,1)/r!
Ω	0.41050203772083	Real period
R	21.582456971217	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	88752u4 33282be4 258d3	Quadratic twists by: -4 -3 -43

Hecke Eigenvalues for elliptic curve 11094j3

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 11094j3

-4	-3	-43
88752u4	33282be4	258d3

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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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