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	4464j	Isogeny class
Conductor	4464	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1434765312 = 211 · 36 · 312	Discriminant
Eigenvalues	2+ 3- -2  0  2  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-291,-574]	[a1,a2,a3,a4,a6]
Generators	[-11:36:1]	Generators of the group modulo torsion
j	1825346/961	j-invariant
L	3.3657804947155	L(r)(E,1)/r!
Ω	1.2260139739068	Real period
R	0.6863258833809	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	2232c2 17856cd2 496c2 111600bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4464j2

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	2	4	-6	-4	0	4	-	4	10	2	-8	-4	0	0	-12	0	2	-12	-14	14	14

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Quadratic twists for elliptic curve 4464j2

-4	8	-3	5
2232c2	17856cd2	496c2	111600bg2

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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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