Cremona's table of elliptic curves

21660 = 2² · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	21660g	Isogeny class
Conductor	21660	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	3240	Modular degree for the optimal curve
Δ	-779760 = -1 · 24 · 33 · 5 · 192	Discriminant
Eigenvalues	2- 3+ 5+  2 -6  4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6,45]	[a1,a2,a3,a4,a6]
Generators	[-1:7:1]	Generators of the group modulo torsion
j	-4864/135	j-invariant
L	4.1790996021372	L(r)(E,1)/r!
Ω	2.371178241773	Real period
R	1.7624569627513	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86640do1 64980bm1 108300cf1 21660s1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660g1

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
-	+	+	2	-6	4	3	-	0	6	-5	-8	0	8	3	9	-6	-10	-14	0	2	-8	9	-6	-14

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Quadratic twists for elliptic curve 21660g1

-4	-3	5	-19
86640do1	64980bm1	108300cf1	21660s1

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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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