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	1166b	Isogeny class
Conductor	1166	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	108	Modular degree for the optimal curve
Δ	-149248 = -1 · 28 · 11 · 53	Discriminant
Eigenvalues	2+  0 -2  0 11+  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,7,-19]	[a1,a2,a3,a4,a6]
j	34965783/149248	j-invariant
L	0.82285746505662	L(r)(E,1)/r!
Ω	1.6457149301132	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9328m1 37312l1 10494e1 29150k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1166b1

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
+	0	-2	0	+	6	-6	4	-4	6	4	6	6	4	8	-	-4	2	8	12	-2	0	-4	-6	2

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Quadratic twists for elliptic curve 1166b1

-4	8	-3	5	-7	-11	53
9328m1	37312l1	10494e1	29150k1	57134f1	12826i1	61798e1

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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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