Cremona's table of elliptic curves

10440 = 2³ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	10440z	Isogeny class
Conductor	10440	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	784753920 = 28 · 36 · 5 · 292	Discriminant
Eigenvalues	2- 3- 5-  0 -4 -2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-327,1834]	[a1,a2,a3,a4,a6]
Generators	[-15:58:1]	Generators of the group modulo torsion
j	20720464/4205	j-invariant
L	4.6142375476645	L(r)(E,1)/r!
Ω	1.5091038188353	Real period
R	0.76440028347847	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	20880w2 83520s2 1160b2 52200o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10440z2

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

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Quadratic twists for elliptic curve 10440z2

-4	8	-3	5
20880w2	83520s2	1160b2	52200o2

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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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