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	18240bx	Isogeny class
Conductor	18240	Conductor
∏ cp	16	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]
Generators	[-139:688:1]	Generators of the group modulo torsion
j	21459330184836962/7710029296875	j-invariant
L	3.6180540606994	L(r)(E,1)/r!
Ω	0.21113248621642	Real period
R	4.2841039357993	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	18240z2 4560h2 54720ey2 91200ic2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bx2

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 18240bx2

-4	8	-3	5
18240z2	4560h2	54720ey2	91200ic2

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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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