Cremona's table of elliptic curves

66654 = 2 · 3² · 7 · 23²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	66654bw	Isogeny class
Conductor	66654	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	85185011772 = 22 · 36 · 74 · 233	Discriminant
Eigenvalues	2- 3-  0 7-  4 -2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4205,105049]	[a1,a2,a3,a4,a6]
Generators	[-17:422:1]	Generators of the group modulo torsion
j	926859375/9604	j-invariant
L	10.999134581575	L(r)(E,1)/r!
Ω	1.0829463973349	Real period
R	1.2695843728477	Regulator
r	1	Rank of the group of rational points
S	1.0000000000064	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7406e2 66654bk2	Quadratic twists by: -3 -23

Hecke Eigenvalues for elliptic curve 66654bw2

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

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Quadratic twists for elliptic curve 66654bw2

-3	-23
7406e2	66654bk2

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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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