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	4464i	Isogeny class
Conductor	4464	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	9762768 = 24 · 39 · 31	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2514,-48517]	[a1,a2,a3,a4,a6]
Generators	[10741445:40165468:166375]	Generators of the group modulo torsion
j	150651000832/837	j-invariant
L	4.2317176492305	L(r)(E,1)/r!
Ω	0.67423047890539	Real period
R	12.552733172492	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2232k1 17856cf1 1488c1 111600bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4464i1

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

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Quadratic twists for elliptic curve 4464i1

-4	8	-3	5
2232k1	17856cf1	1488c1	111600bh1

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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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