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	21660t	Isogeny class
Conductor	21660	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	18586811392070400 = 28 · 32 · 52 · 199	Discriminant
Eigenvalues	2- 3- 5+ -2 -6 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-70876,-3141676]	[a1,a2,a3,a4,a6]
Generators	[4879:340320:1]	Generators of the group modulo torsion
j	476656/225	j-invariant
L	4.7282873424878	L(r)(E,1)/r!
Ω	0.3064065325714	Real period
R	7.71570909864	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	86640bp2 64980bc2 108300f2 21660b2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660t2

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	-2	-2	+	4	10	4	10	2	-2	-12	12	-4	2	-4	-8	-2	8	-4	10	6

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Quadratic twists for elliptic curve 21660t2

-4	-3	5	-19
86640bp2	64980bc2	108300f2	21660b2

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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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