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	11280n	Isogeny class
Conductor	11280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	-781752729600000 = -1 · 222 · 33 · 55 · 472	Discriminant
Eigenvalues	2- 3+ 5+ -2 -6 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,20104,771696]	[a1,a2,a3,a4,a6]
Generators	[810:23406:1]	Generators of the group modulo torsion
j	219376239860231/190857600000	j-invariant
L	2.7347560292821	L(r)(E,1)/r!
Ω	0.32773711975276	Real period
R	4.1721792626742	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	1410e1 45120dc1 33840cj1 56400cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11280n1

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

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Quadratic twists for elliptic curve 11280n1

-4	8	-3	5
1410e1	45120dc1	33840cj1	56400cr1

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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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