Cremona's table of elliptic curves

22560 = 2⁵ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 47-	Signs for the Atkin-Lehner involutions
Conductor	22560	Conductor
Count	4	Number of curves in isogeny class
Curves	22560g1 22560g2 22560g3 22560g4	Curves in isogeny class
deg	13312	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4  0  2  2 -4	Hecke eigenvalues for primes less than 20
L	7.050506198622	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	22560m 45120s 67680ba 112800bp	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 22560g

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	2	2	-4	-8	2	-8	6	-2	-12	-	-14	4	14	4	-8	-6	-4	-12	-14	18

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Quadratic twists for isogeny class 22560g

-4	8	-3	5
22560m	45120s	67680ba	112800bp

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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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