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	4464w	Isogeny class
Conductor	4464	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-361584 = -1 · 24 · 36 · 31	Discriminant
Eigenvalues	2- 3- -1 -3  6 -4  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-153,-729]	[a1,a2,a3,a4,a6]
j	-33958656/31	j-invariant
L	1.3573846176826	L(r)(E,1)/r!
Ω	0.67869230884129	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	1116a1 17856ca1 496e1 111600fi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4464w1

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
-	-	-1	-3	6	-4	0	5	-4	-2	-	-2	9	-2	4	-12	9	12	12	5	-14	-10	2	-6	-7

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Quadratic twists for elliptic curve 4464w1

-4	8	-3	5
1116a1	17856ca1	496e1	111600fi1

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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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