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	18240c	Isogeny class
Conductor	18240	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	473579344468377600 = 227 · 3 · 52 · 196	Discriminant
Eigenvalues	2+ 3+ 5+  2  0 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-478561,-122888735]	[a1,a2,a3,a4,a6]
Generators	[62931:2885120:27]	Generators of the group modulo torsion
j	46237740924063961/1806561830400	j-invariant
L	4.1227051513055	L(r)(E,1)/r!
Ω	0.18195308176702	Real period
R	5.6645167964019	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	18240cn4 570f4 54720bs4 91200cy4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240c4

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 elliptic curve 18240c4

-4	8	-3	5
18240cn4	570f4	54720bs4	91200cy4

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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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