Cremona's table of elliptic curves

21840 = 2⁴ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	21840ck	Isogeny class
Conductor	21840	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	336561039360000 = 214 · 34 · 54 · 74 · 132	Discriminant
Eigenvalues	2- 3- 5- 7-  4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-61360,5762900]	[a1,a2,a3,a4,a6]
j	6237734630203441/82168222500	j-invariant
L	4.3397628832922	L(r)(E,1)/r!
Ω	0.54247036041152	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	2730w3 87360eq4 65520dg4 109200cy4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 21840ck4

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

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Quadratic twists for elliptic curve 21840ck4

-4	8	-3	5
2730w3	87360eq4	65520dg4	109200cy4

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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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