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	21660i	Isogeny class
Conductor	21660	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	-20380275649200 = -1 · 24 · 3 · 52 · 198	Discriminant
Eigenvalues	2- 3+ 5+ -4  2 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6739,40686]	[a1,a2,a3,a4,a6]
Generators	[13:361:1]	Generators of the group modulo torsion
j	44957696/27075	j-invariant
L	2.7852685321082	L(r)(E,1)/r!
Ω	0.41887328688554	Real period
R	1.1082383063136	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	86640dr1 64980bs1 108300cg1 1140d1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660i1

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

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Quadratic twists for elliptic curve 21660i1

-4	-3	5	-19
86640dr1	64980bs1	108300cg1	1140d1

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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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