Cremona's table of elliptic curves

11280 = 2⁴ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 47+	Signs for the Atkin-Lehner involutions
Class	11280o	Isogeny class
Conductor	11280	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	141000000000000 = 212 · 3 · 512 · 47	Discriminant
Eigenvalues	2- 3+ 5-  0 -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-17240,663600]	[a1,a2,a3,a4,a6]
Generators	[-140:560:1]	Generators of the group modulo torsion
j	138356873478361/34423828125	j-invariant
L	4.1055250650594	L(r)(E,1)/r!
Ω	0.54519159519047	Real period
R	2.5101420621529	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	705f3 45120cm4 33840bw4 56400cv4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280o3

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
-	+	-	0	-4	2	6	0	0	-2	-4	-2	-6	4	+	-6	0	-2	4	-4	-2	0	4	-14	10

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Quadratic twists for elliptic curve 11280o3

-4	8	-3	5
705f3	45120cm4	33840bw4	56400cv4

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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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