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	18240bg	Isogeny class
Conductor	18240	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-192166133760 = -1 · 215 · 32 · 5 · 194	Discriminant
Eigenvalues	2+ 3- 5+  0  4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1439,-1441]	[a1,a2,a3,a4,a6]
Generators	[17:168:1]	Generators of the group modulo torsion
j	10049728312/5864445	j-invariant
L	6.2273534746513	L(r)(E,1)/r!
Ω	0.59450884276909	Real period
R	2.6186967403402	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	18240b4 9120n4 54720cd3 91200w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bg4

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

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Quadratic twists for elliptic curve 18240bg4

-4	8	-3	5
18240b4	9120n4	54720cd3	91200w3

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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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