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	21660w	Isogeny class
Conductor	21660	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	2751337212642000 = 24 · 34 · 53 · 198	Discriminant
Eigenvalues	2- 3- 5+ -2  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1220661,-519488640]	[a1,a2,a3,a4,a6]
j	267219216891904/3655125	j-invariant
L	2.2981115043763	L(r)(E,1)/r!
Ω	0.14363196902352	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	86640bz1 64980bp1 108300s1 1140a1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660w1

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	4	0	-2	-	-2	6	0	8	2	-6	-2	4	-4	-10	12	-8	-2	8	14	2	4

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Quadratic twists for elliptic curve 21660w1

-4	-3	5	-19
86640bz1	64980bp1	108300s1	1140a1

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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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