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	10080bw	Isogeny class
Conductor	10080	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1214950653504000 = 29 · 318 · 53 · 72	Discriminant
Eigenvalues	2- 3- 5- 7+  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-590187,174506866]	[a1,a2,a3,a4,a6]
j	60910917333827912/3255076125	j-invariant
L	2.7542378939522	L(r)(E,1)/r!
Ω	0.45903964899203	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	10080ce2 20160dx3 3360i2 50400bn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10080bw3

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

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Quadratic twists for elliptic curve 10080bw3

-4	8	-3	5	-7
10080ce2	20160dx3	3360i2	50400bn4	70560de4

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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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