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	5880z	Isogeny class
Conductor	5880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2240842319170560 = -1 · 210 · 312 · 5 · 77	Discriminant
Eigenvalues	2- 3+ 5- 7- -4  6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,24680,-1728740]	[a1,a2,a3,a4,a6]
j	13799183324/18600435	j-invariant
L	1.9678029399161	L(r)(E,1)/r!
Ω	0.24597536748951	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760bh4 47040co3 17640t4 29400bu3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880z4

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

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Quadratic twists for elliptic curve 5880z4

-4	8	-3	5	-7
11760bh4	47040co3	17640t4	29400bu3	840h4

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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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