Cremona's table of elliptic curves

4464 = 2⁴ · 3² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 31-	Signs for the Atkin-Lehner involutions
Class	4464x	Isogeny class
Conductor	4464	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	5515237859328 = 213 · 36 · 314	Discriminant
Eigenvalues	2- 3-  2  0  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4419,-4158]	[a1,a2,a3,a4,a6]
j	3196010817/1847042	j-invariant
L	2.5605268748854	L(r)(E,1)/r!
Ω	0.64013171872134	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	558c4 17856ce3 496f4 111600ep3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4464x3

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

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Quadratic twists for elliptic curve 4464x3

-4	8	-3	5
558c4	17856ce3	496f4	111600ep3

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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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