Cremona's table of elliptic curves

5880 = 2³ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	5880k	Isogeny class
Conductor	5880	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-117148135265280 = -1 · 210 · 34 · 5 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1976,521184]	[a1,a2,a3,a4,a6]
Generators	[-68:588:1]	Generators of the group modulo torsion
j	-7086244/972405	j-invariant
L	4.4156183504192	L(r)(E,1)/r!
Ω	0.48362986590756	Real period
R	1.1412700759632	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	11760c4 47040bc3 17640cp4 29400cn3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880k4

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	0	0	6	-4	-2	-10	4	0	2	-4	-6	-12	12	2	0	-4	-10	2

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Quadratic twists for elliptic curve 5880k4

-4	8	-3	5	-7
11760c4	47040bc3	17640cp4	29400cn3	840c4

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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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