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	16	Product of Tamagawa factors cp
Δ	1102052666880000 = 212 · 35 · 54 · 116	Discriminant
Eigenvalues	2- 3+ 5-  2 11+ -2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-808225,-279396623]	[a1,a2,a3,a4,a6]
Generators	[1599:50140:1]	Generators of the group modulo torsion
j	14254800421166387776/269055826875	j-invariant
L	3.6672323044177	L(r)(E,1)/r!
Ω	0.15922708034199	Real period
R	5.7578652710034	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	5280r2 10560cd1 15840l2 26400p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280k2

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 5280k2

-4	8	-3	5	-11
5280r2	10560cd1	15840l2	26400p2	58080k2

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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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