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	10080y	Isogeny class
Conductor	10080	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4480842240 = -1 · 29 · 36 · 5 · 74	Discriminant
Eigenvalues	2+ 3- 5- 7+  4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,333,2214]	[a1,a2,a3,a4,a6]
Generators	[30:198:1]	Generators of the group modulo torsion
j	10941048/12005	j-invariant
L	4.8794771378721	L(r)(E,1)/r!
Ω	0.91519550706869	Real period
R	2.665811348605	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	10080cf4 20160bg4 1120i4 50400du2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10080y4

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	-6	4	-8	-6	0	10	-10	-12	0	6	12	2	-4	-12	-10	4	0	-18	-10

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Quadratic twists for elliptic curve 10080y4

-4	8	-3	5	-7
10080cf4	20160bg4	1120i4	50400du2	70560z2

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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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