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	5280a	Isogeny class
Conductor	5280	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	141134400 = 26 · 36 · 52 · 112	Discriminant
Eigenvalues	2+ 3+ 5+  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-206,1056]	[a1,a2,a3,a4,a6]
Generators	[-5:44:1]	Generators of the group modulo torsion
j	15179306176/2205225	j-invariant
L	2.9926266220364	L(r)(E,1)/r!
Ω	1.7645804497503	Real period
R	1.6959422974793	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5280g1 10560ck2 15840bf1 26400bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280a1

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
+	+	+	0	+	-2	-2	4	4	6	-8	2	-10	4	-4	10	4	-2	4	16	-2	4	16	-14	-6

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Quadratic twists for elliptic curve 5280a1

-4	8	-3	5	-11
5280g1	10560ck2	15840bf1	26400bs1	58080bg1

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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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