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	11280h	Isogeny class
Conductor	11280	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	36096000 = 211 · 3 · 53 · 47	Discriminant
Eigenvalues	2+ 3- 5- -4  0  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-752000,-251251500]	[a1,a2,a3,a4,a6]
Generators	[1020:6630:1]	Generators of the group modulo torsion
j	22964016969229536002/17625	j-invariant
L	5.4094179988198	L(r)(E,1)/r!
Ω	0.16212315487225	Real period
R	5.5610172845476	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5640f4 45120bt4 33840k4 56400f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280h3

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

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Quadratic twists for elliptic curve 11280h3

-4	8	-3	5
5640f4	45120bt4	33840k4	56400f4

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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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