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	4410t	Isogeny class
Conductor	4410	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	851014335622500 = 22 · 310 · 54 · 78	Discriminant
Eigenvalues	2+ 3- 5- 7- -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-463059,-121159935]	[a1,a2,a3,a4,a6]
j	128031684631201/9922500	j-invariant
L	1.4641394244041	L(r)(E,1)/r!
Ω	0.18301742805052	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	35280fq4 1470p4 22050er4 630d4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410t3

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

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Quadratic twists for elliptic curve 4410t3

-4	-3	5	-7
35280fq4	1470p4	22050er4	630d4

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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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