Cremona's table of elliptic curves

1166 = 2 · 11 · 53

Field	Data	Notes
Atkin-Lehner	2+ 11- 53+	Signs for the Atkin-Lehner involutions
Class	1166c	Isogeny class
Conductor	1166	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-4722292686848 = -1 · 218 · 112 · 533	Discriminant
Eigenvalues	2+  1  0  2 11-  5  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,2709,-89130]	[a1,a2,a3,a4,a6]
j	2199789679916375/4722292686848	j-invariant
L	1.6039847211244	L(r)(E,1)/r!
Ω	0.40099618028109	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	9328g2 37312h2 10494d2 29150p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1166c2

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	0	2	-	5	3	-7	9	-3	8	11	0	8	0	+	-12	8	-4	-9	8	11	9	-6	5

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Quadratic twists for elliptic curve 1166c2

-4	8	-3	5	-7	-11	53
9328g2	37312h2	10494d2	29150p2	57134n2	12826g2	61798h2

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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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