Cremona's table of elliptic curves

4560 = 2⁴ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	4560	Conductor
Count	4	Number of curves in isogeny class
Curves	4560n1 4560n2 4560n3 4560n4	Curves in isogeny class
deg	69120	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -2 -6 -4 -6 19+	Hecke eigenvalues for primes less than 20
L	0.18810047082216	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	570k 18240cy 13680bo 22800cy	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4560n

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

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Quadratic twists for isogeny class 4560n

-4	8	-3	5	-19
570k	18240cy	13680bo	22800cy	86640dp

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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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