Cremona's table of elliptic curves

5280 = 2⁵ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	5280s	Isogeny class
Conductor	5280	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-3960000 = -1 · 26 · 32 · 54 · 11	Discriminant
Eigenvalues	2- 3- 5- -2 11- -6  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10,-100]	[a1,a2,a3,a4,a6]
Generators	[10:30:1]	Generators of the group modulo torsion
j	-1906624/61875	j-invariant
L	4.5352296113468	L(r)(E,1)/r!
Ω	1.0779386867079	Real period
R	1.0518292151657	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	5280l1 10560bj2 15840e1 26400i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280s1

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

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Quadratic twists for elliptic curve 5280s1

-4	8	-3	5	-11
5280l1	10560bj2	15840e1	26400i1	58080bb1

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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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