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	21840be1 21840be2 21840be3 21840be4 21840be5 21840be6	Curves in isogeny class
deg	124416	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+  6 13-  6 -2	Hecke eigenvalues for primes less than 20
L	4.5306957751007	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2730p 87360gu 65520eb 109200gd	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 21840be

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
-	+	+	+	6	-	6	-2	0	0	4	2	-6	-8	0	-6	-12	8	-14	-12	2	-8	6	-6	-10

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Quadratic twists for isogeny class 21840be

-4	8	-3	5
2730p	87360gu	65520eb	109200gd

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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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