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	21660l	Isogeny class
Conductor	21660	Conductor
∏ cp	81	Product of Tamagawa factors cp
deg	2400840	Modular degree for the optimal curve
Δ	-8.4616516181926E+23	Discriminant
Eigenvalues	2- 3+ 5- -2 -2  0  1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3317470,44195123097]	[a1,a2,a3,a4,a6]
Generators	[1324:225625:1]	Generators of the group modulo torsion
j	14859212843264/3113912109375	j-invariant
L	3.9499277084607	L(r)(E,1)/r!
Ω	0.068807613592097	Real period
R	0.70870848536778	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	86640dw1 64980n1 108300bn1 21660be1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 21660l1

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	-2	0	1	+	-8	-6	-3	4	4	12	1	5	10	14	-6	8	-2	-8	11	-2	2

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Quadratic twists for elliptic curve 21660l1

-4	-3	5	-19
86640dw1	64980n1	108300bn1	21660be1

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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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