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	5280r	Isogeny class
Conductor	5280	Conductor
∏ cp	480	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	[-124:2970:1]	Generators of the group modulo torsion
j	-201440287521417664/30700866796875	j-invariant
L	4.6516067817689	L(r)(E,1)/r!
Ω	0.45071431373056	Real period
R	0.08600434613942	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	5280k1 10560bi2 15840d1 26400h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5280r1

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 5280r1

-4	8	-3	5	-11
5280k1	10560bi2	15840d1	26400h1	58080ba1

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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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