Cremona's table of elliptic curves

4160 = 2⁶ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	4160	Conductor
Count	4	Number of curves in isogeny class
Curves	4160o1 4160o2 4160o3 4160o4	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2-  0 5-  0 -4 13- -6  4	Hecke eigenvalues for primes less than 20
L	1.5426854806984	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4160d 1040a 37440ee 20800cf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4160o

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	-	0	-4	-	-6	4	0	2	4	6	-6	8	0	-2	4	10	12	4	14	16	12	2	-2

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Quadratic twists for isogeny class 4160o

-4	8	-3	5	13
4160d	1040a	37440ee	20800cf	54080bx

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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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