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	5280l	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	[0:10:1]	Generators of the group modulo torsion
j	-1906624/61875	j-invariant
L	3.61409417787	L(r)(E,1)/r!
Ω	2.0656589485063	Real period
R	0.43740209153154	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	5280s1 10560ce2 15840m1 26400q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280l1

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 5280l1

-4	8	-3	5	-11
5280s1	10560ce2	15840m1	26400q1	58080l1

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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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