Cremona's table of elliptic curves

440 = 2³ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+	Signs for the Atkin-Lehner involutions
Class	440c	Isogeny class
Conductor	440	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	58564000000 = 28 · 56 · 114	Discriminant
Eigenvalues	2+  0 5-  4 11+  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5047,137514]	[a1,a2,a3,a4,a6]
j	55537159171536/228765625	j-invariant
L	1.6767547907011	L(r)(E,1)/r!
Ω	1.1178365271341	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	880c2 3520f2 3960p2 2200f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 440c2

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

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Quadratic twists for elliptic curve 440c2

-4	8	-3	5	-7	-11	13	17
880c2	3520f2	3960p2	2200f2	21560a2	4840h2	74360o2	127160b2

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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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