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	5280k	Isogeny class
Conductor	5280	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-1964855475000000 = -1 · 26 · 310 · 58 · 113	Discriminant
Eigenvalues	2- 3+ 5-  2 11+ -2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48850,-4654748]	[a1,a2,a3,a4,a6]
Generators	[384:5750:1]	Generators of the group modulo torsion
j	-201440287521417664/30700866796875	j-invariant
L	3.6672323044177	L(r)(E,1)/r!
Ω	0.15922708034199	Real period
R	2.8789326355017	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	5280r1 10560cd2 15840l1 26400p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280k1

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	+	-2	0	-6	8	-8	4	-6	-12	6	0	2	-4	2	-12	-16	-2	10	0	18	-18

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Quadratic twists for elliptic curve 5280k1

-4	8	-3	5	-11
5280r1	10560cd2	15840l1	26400p1	58080k1

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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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