Cremona's table of elliptic curves

5640 = 2³ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 47-	Signs for the Atkin-Lehner involutions
Conductor	5640	Conductor
Count	4	Number of curves in isogeny class
Curves	5640f1 5640f2 5640f3 5640f4	Curves in isogeny class
deg	9984	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  4  0  6  2  4	Hecke eigenvalues for primes less than 20
L	2.6940641822966	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11280h 45120bb 16920e 28200k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5640f

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

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Quadratic twists for isogeny class 5640f

-4	8	-3	5
11280h	45120bb	16920e	28200k

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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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