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	11280w	Isogeny class
Conductor	11280	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	19491840000 = 213 · 34 · 54 · 47	Discriminant
Eigenvalues	2- 3- 5+ -4  4  2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8096,-283020]	[a1,a2,a3,a4,a6]
j	14329429649569/4758750	j-invariant
L	2.0132425767896	L(r)(E,1)/r!
Ω	0.50331064419741	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	1410h3 45120cj4 33840cn4 56400bn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280w3

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

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Quadratic twists for elliptic curve 11280w3

-4	8	-3	5
1410h3	45120cj4	33840cn4	56400bn4

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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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