Cremona's table of elliptic curves

66 = 2 · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	66c	Isogeny class
Conductor	66	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-466873642818 = -1 · 2 · 32 · 1110	Discriminant
Eigenvalues	2- 3- -4 -2 11-  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10055,-390309]	[a1,a2,a3,a4,a6]
j	-112427521449300721/466873642818	j-invariant
L	1.1916148156125	L(r)(E,1)/r!
Ω	0.2383229631225	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	528f4 2112d4 198e4 1650b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 66c4

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
-	-	-4	-2	-	4	-2	0	-6	10	-8	-2	2	4	-2	4	0	-8	-12	2	-6	10	4	10	-2

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Quadratic twists for elliptic curve 66c4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
528f4	2112d4	198e4	1650b4	3234s4	726e4	11154q4	19074p4	23826l4	34914bf4	55506d4	63426x4	90354k4	110946v4	122034d4

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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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