Cremona's table of elliptic curves

4410 = 2 · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	4410m	Isogeny class
Conductor	4410	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	10296222826050 = 2 · 36 · 52 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-118050,-15581350]	[a1,a2,a3,a4,a6]
Generators	[-197:103:1]	Generators of the group modulo torsion
j	2121328796049/120050	j-invariant
L	2.5793807542536	L(r)(E,1)/r!
Ω	0.25756352434218	Real period
R	2.5036355214129	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	35280el4 490h4 22050es4 630e4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410m3

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
+	-	+	-	-4	6	2	0	0	-6	-8	-10	2	4	8	2	-8	14	-12	16	-2	-8	8	10	-2

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Quadratic twists for elliptic curve 4410m3

-4	-3	5	-7
35280el4	490h4	22050es4	630e4

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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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