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	4410y	Isogeny class
Conductor	4410	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	161280	Modular degree for the optimal curve
Δ	3188303649379860480 = 214 · 39 · 5 · 711	Discriminant
Eigenvalues	2- 3+ 5- 7-  4 -6  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2259767,1305245071]	[a1,a2,a3,a4,a6]
j	551105805571803/1376829440	j-invariant
L	3.5393266365936	L(r)(E,1)/r!
Ω	0.25280904547097	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	35280dp1 4410b1 22050j1 630g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410y1

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

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Quadratic twists for elliptic curve 4410y1

-4	-3	5	-7
35280dp1	4410b1	22050j1	630g1

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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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