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	440b	Isogeny class
Conductor	440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	154880 = 28 · 5 · 112	Discriminant
Eigenvalues	2-  0 5+ -2 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-23,-38]	[a1,a2,a3,a4,a6]
Generators	[-3:2:1]	Generators of the group modulo torsion
j	5256144/605	j-invariant
L	1.7346746205778	L(r)(E,1)/r!
Ω	2.1964080282505	Real period
R	0.39488897287439	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	880a2 3520i2 3960i2 2200a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 440b2

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	-4	0	0	-6	0	-2	6	2	0	-10	12	-6	-12	16	4	-4	2	6	-2

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Quadratic twists for elliptic curve 440b2

-4	8	-3	5	-7	-11	13	17
880a2	3520i2	3960i2	2200a2	21560s2	4840c2	74360g2	127160i2

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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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