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	5880u	Isogeny class
Conductor	5880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-282357600000000 = -1 · 211 · 3 · 58 · 76	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4 -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3936,815340]	[a1,a2,a3,a4,a6]
Generators	[89:1078:1]	Generators of the group modulo torsion
j	-27995042/1171875	j-invariant
L	2.8979371987942	L(r)(E,1)/r!
Ω	0.45599334750234	Real period
R	3.1776090755133	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	11760x6 47040dn5 17640be6 29400bt5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880u6

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
-	+	+	-	-4	-6	6	4	0	-2	8	-2	6	12	-8	6	-12	-14	4	8	6	-8	12	-10	-2

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Quadratic twists for elliptic curve 5880u6

-4	8	-3	5	-7
11760x6	47040dn5	17640be6	29400bt5	120a6

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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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