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	4464m	Isogeny class
Conductor	4464	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-105428680704 = -1 · 217 · 33 · 313	Discriminant
Eigenvalues	2- 3+  3  4 -3  5  3  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-771,-17662]	[a1,a2,a3,a4,a6]
j	-458314011/953312	j-invariant
L	3.4001938344944	L(r)(E,1)/r!
Ω	0.4250242293118	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	558b1 17856bn1 4464n2 111600cm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4464m1

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
-	+	3	4	-3	5	3	7	-6	6	+	2	-12	-8	3	12	-6	5	-11	3	-4	13	3	-6	-7

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Quadratic twists for elliptic curve 4464m1

-4	8	-3	5
558b1	17856bn1	4464n2	111600cm1

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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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