Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	18480bd	Isogeny class
Conductor	18480	Conductor
∏ cp	1792	Product of Tamagawa factors cp
Δ	-4.6789167890486E+25	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,28317520,-323941503900]	[a1,a2,a3,a4,a6]
j	2452389160534358561651516/45692546768053107181875	j-invariant
L	3.474848418467	L(r)(E,1)/r!
Ω	0.031025432307741	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9240g4 73920ex3 55440u3 92400c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480bd4

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

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Quadratic twists for elliptic curve 18480bd4

-4	8	-3	5	-7
9240g4	73920ex3	55440u3	92400c3	129360k3

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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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