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	18240bv	Isogeny class
Conductor	18240	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	14195097600 = 219 · 3 · 52 · 192	Discriminant
Eigenvalues	2- 3+ 5+  2  0 -6  8 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1921,32545]	[a1,a2,a3,a4,a6]
Generators	[21:32:1]	Generators of the group modulo torsion
j	2992209121/54150	j-invariant
L	4.1871070038132	L(r)(E,1)/r!
Ω	1.2530466447549	Real period
R	0.83538530296136	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	18240bb2 4560ba2 54720ew2 91200ie2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bv2

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	-6	8	-	4	-2	2	2	-12	4	-12	-10	6	14	-12	8	-10	-14	2	0	2

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Quadratic twists for elliptic curve 18240bv2

-4	8	-3	5
18240bb2	4560ba2	54720ew2	91200ie2

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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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