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	5880q	Isogeny class
Conductor	5880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6585600 = 28 · 3 · 52 · 73	Discriminant
Eigenvalues	2+ 3- 5- 7-  4 -6  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-100,-400]	[a1,a2,a3,a4,a6]
j	1272112/75	j-invariant
L	3.0280657799364	L(r)(E,1)/r!
Ω	1.5140328899682	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760r2 47040s2 17640ci2 29400cy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880q2

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

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Quadratic twists for elliptic curve 5880q2

-4	8	-3	5	-7
11760r2	47040s2	17640ci2	29400cy2	5880d2

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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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