Cremona's table of elliptic curves

1166 = 2 · 11 · 53

Field	Data	Notes
Atkin-Lehner	2+ 11+ 53-	Signs for the Atkin-Lehner involutions
Conductor	1166	Conductor
Count	4	Number of curves in isogeny class
Curves	1166b1 1166b2 1166b3 1166b4	Curves in isogeny class
deg	108	Modular degree for the optimal curve
Eigenvalues	2+  0 -2  0 11+  6 -6  4	Hecke eigenvalues for primes less than 20
L	0.82285746505662	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	9328m 37312l 10494e 29150k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1166b

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 isogeny class 1166b

-4	8	-3	5	-7	-11	53
9328m	37312l	10494e	29150k	57134f	12826i	61798e

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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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