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	8	Number of curves in isogeny class
Curves	21840bd1 21840bd2 21840bd3 21840bd4 21840bd5 21840bd6 21840bd7 21840bd8	Curves in isogeny class
deg	165888	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+  0 13- -6  4	Hecke eigenvalues for primes less than 20
L	3.644933026092	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2730n 87360gr 65520du 109200fy	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 21840bd

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
-	+	+	+	0	-	-6	4	0	6	-8	2	6	-8	-12	-6	12	14	4	12	2	-8	0	6	2

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Quadratic twists for isogeny class 21840bd

-4	8	-3	5
2730n	87360gr	65520du	109200fy

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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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