Cremona's table of elliptic curves

18720 = 2⁵ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Conductor	18720	Conductor
Count	4	Number of curves in isogeny class
Curves	18720k1 18720k2 18720k3 18720k4	Curves in isogeny class
deg	16384	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4 -4 13- -2 -4	Hecke eigenvalues for primes less than 20
L	5.108455912235	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	18720m 37440fg 2080e 93600dq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18720k

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

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Quadratic twists for isogeny class 18720k

-4	8	-3	5
18720m	37440fg	2080e	93600dq

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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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