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	10080d	Isogeny class
Conductor	10080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	60480 = 26 · 33 · 5 · 7	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  0 -2  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-33,-72]	[a1,a2,a3,a4,a6]
j	2299968/35	j-invariant
L	1.9937535834234	L(r)(E,1)/r!
Ω	1.9937535834234	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	10080a1 20160dh1 10080bk1 50400cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10080d1

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
+	+	+	-	0	-2	4	2	4	6	0	4	-6	-10	2	-10	4	4	14	-6	10	8	-16	2	-2

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Quadratic twists for elliptic curve 10080d1

-4	8	-3	5	-7
10080a1	20160dh1	10080bk1	50400cd1	70560l1

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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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