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	18240bt	Isogeny class
Conductor	18240	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	-4084826112000 = -1 · 218 · 38 · 53 · 19	Discriminant
Eigenvalues	2- 3+ 5+ -4  4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1439,94465]	[a1,a2,a3,a4,a6]
j	1256216039/15582375	j-invariant
L	1.1542035730091	L(r)(E,1)/r!
Ω	0.57710178650456	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18240bj1 4560bd1 54720er1 91200hv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bt1

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 18240bt1

-4	8	-3	5
18240bj1	4560bd1	54720er1	91200hv1

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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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