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	100	Product of Tamagawa factors cp
Δ	-228637728 = -1 · 25 · 310 · 112	Discriminant
Eigenvalues	2- 3- -4 -2 11-  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,115,561]	[a1,a2,a3,a4,a6]
j	168105213359/228637728	j-invariant
L	1.1916148156125	L(r)(E,1)/r!
Ω	1.1916148156125	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	10	Number of elements in the torsion subgroup
Twists	528f2 2112d2 198e2 1650b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 66c2

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 66c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43
528f2	2112d2	198e2	1650b2	3234s2	726e2	11154q2	19074p2	23826l2	34914bf2	55506d2	63426x2	90354k2	110946v2	122034d2

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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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