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	4410bb	Isogeny class
Conductor	4410	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2894606583750 = 2 · 39 · 54 · 76	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-127238,17500767]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	2.9258203092475	L(r)(E,1)/r!
Ω	0.73145507731189	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	35280dx5 1470d4 22050be5 90c4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410bb5

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	6	4	0	6	-8	2	-6	-4	0	6	0	10	-4	0	-2	8	12	18	-2

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Quadratic twists for elliptic curve 4410bb5

-4	-3	5	-7
35280dx5	1470d4	22050be5	90c4

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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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