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
Class	18240bj	Isogeny class
Conductor	18240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	10944000000000000 = 218 · 32 · 512 · 19	Discriminant
Eigenvalues	2+ 3- 5+  4 -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-79201,6921215]	[a1,a2,a3,a4,a6]
Generators	[76223:201312:343]	Generators of the group modulo torsion
j	209595169258201/41748046875	j-invariant
L	6.2843861814675	L(r)(E,1)/r!
Ω	0.38345190066245	Real period
R	8.1944908482794	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18240bt3 285c4 54720cl3 91200bl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bj4

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	2	-	-4	2	0	6	-6	-8	-12	14	-4	-14	4	0	-14	16	0	-6	-10

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Quadratic twists for elliptic curve 18240bj4

-4	8	-3	5
18240bt3	285c4	54720cl3	91200bl3

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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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