Cremona's table of elliptic curves

18240 = 2⁶ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	18240	Conductor
Count	4	Number of curves in isogeny class
Curves	18240c1 18240c2 18240c3 18240c4	Curves in isogeny class
deg	27648	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  2  0 -2  0 19+	Hecke eigenvalues for primes less than 20
L	4.1227051513055	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	18240cn 570f 54720bs 91200cy	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18240c

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

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Quadratic twists for isogeny class 18240c

-4	8	-3	5
18240cn	570f	54720bs	91200cy

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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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