Cremona's table of elliptic curves

10080 = 2⁵ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+	Signs for the Atkin-Lehner involutions
Class	10080by	Isogeny class
Conductor	10080	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-1240029000000000000 = -1 · 212 · 311 · 512 · 7	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-105852,-55191904]	[a1,a2,a3,a4,a6]
j	-43927191786304/415283203125	j-invariant
L	1.3863677521786	L(r)(E,1)/r!
Ω	0.11553064601488	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10080bb4 20160bc1 3360b4 50400bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10080by4

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

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Quadratic twists for elliptic curve 10080by4

-4	8	-3	5	-7
10080bb4	20160bc1	3360b4	50400bq2	70560dk2

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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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