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	16	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-16137753327360 = -1 · 28 · 37 · 5 · 78	Discriminant
Eigenvalues	2+ 3- 5- 7- -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4401,-158355]	[a1,a2,a3,a4,a6]
j	109902239/188160	j-invariant
L	1.4641394244041	L(r)(E,1)/r!
Ω	0.36603485610104	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35280fq1 1470p1 22050er1 630d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410t1

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 4410t1

-4	-3	5	-7
35280fq1	1470p1	22050er1	630d1

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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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