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	21660bc	Isogeny class
Conductor	21660	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	218880	Modular degree for the optimal curve
Δ	-261377035200990000 = -1 · 24 · 34 · 54 · 199	Discriminant
Eigenvalues	2- 3- 5- -4  0 -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,128035,-17106600]	[a1,a2,a3,a4,a6]
j	44957696/50625	j-invariant
L	1.339437054834	L(r)(E,1)/r!
Ω	0.16742963185425	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	86640ck1 64980r1 108300j1 21660n1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660bc1

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	0	-4	-2	+	-4	0	0	-4	0	-8	4	-4	-8	-2	-4	16	6	8	0	0	-12

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Quadratic twists for elliptic curve 21660bc1

-4	-3	5	-19
86640ck1	64980r1	108300j1	21660n1

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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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