Cremona's table of elliptic curves

13160 = 2³ · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 47-	Signs for the Atkin-Lehner involutions
Conductor	13160	Conductor
Count	4	Number of curves in isogeny class
Curves	13160d1 13160d2 13160d3 13160d4	Curves in isogeny class
deg	2560	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7+  0  2 -2 -4	Hecke eigenvalues for primes less than 20
L	3.8776436948296	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26320b 105280k 118440bc 65800b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 13160d

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

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Quadratic twists for isogeny class 13160d

-4	8	-3	5	-7
26320b	105280k	118440bc	65800b	92120q

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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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