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	48	Product of Tamagawa factors cp
Δ	-30250000000000 = -1 · 210 · 512 · 112	Discriminant
Eigenvalues	2+  0 5-  4 11+  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2627,269646]	[a1,a2,a3,a4,a6]
j	-1957960715364/29541015625	j-invariant
L	1.6767547907011	L(r)(E,1)/r!
Ω	0.55891826356703	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	880c4 3520f4 3960p4 2200f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 440c4

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 440c4

-4	8	-3	5	-7	-11	13	17
880c4	3520f4	3960p4	2200f4	21560a3	4840h4	74360o3	127160b3

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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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