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	18240z	Isogeny class
Conductor	18240	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	1010568960000000000 = 217 · 37 · 510 · 192	Discriminant
Eigenvalues	2+ 3- 5+  2  0  2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-294081,37698975]	[a1,a2,a3,a4,a6]
j	21459330184836962/7710029296875	j-invariant
L	3.5593613526435	L(r)(E,1)/r!
Ω	0.25424009661739	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	18240bx2 2280f2 54720br2 91200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240z2

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

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Quadratic twists for elliptic curve 18240z2

-4	8	-3	5
18240bx2	2280f2	54720br2	91200h2

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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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