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
Conductor	21840	Conductor
Count	6	Number of curves in isogeny class
Curves	21840ck1 21840ck2 21840ck3 21840ck4 21840ck5 21840ck6	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- 7-  4 13-  2 -4	Hecke eigenvalues for primes less than 20
L	4.3397628832922	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2730w 87360eq 65520dg 109200cy	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 21840ck

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 isogeny class 21840ck

-4	8	-3	5
2730w	87360eq	65520dg	109200cy

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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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