Cremona's table of elliptic curves

44376 = 2³ · 3 · 43²

Field	Data	Notes
Atkin-Lehner	2+ 3- 43+	Signs for the Atkin-Lehner involutions
Class	44376d	Isogeny class
Conductor	44376	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	160512	Modular degree for the optimal curve
Δ	-10816839574272 = -1 · 28 · 312 · 433	Discriminant
Eigenvalues	2+ 3-  0 -4 -3 -1 -7  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-51313,4459667]	[a1,a2,a3,a4,a6]
Generators	[143:-258:1] [11:1974:1]	Generators of the group modulo torsion
j	-734123392000/531441	j-invariant
L	9.758016557991	L(r)(E,1)/r!
Ω	0.71378280249765	Real period
R	0.14240467192081	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	88752b1 44376g1	Quadratic twists by: -4 -43

Hecke Eigenvalues for elliptic curve 44376d1

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
+	-	0	-4	-3	-1	-7	4	-7	-4	-3	-4	9	+	-12	-5	0	8	7	8	-16	-4	-3	-4	-17

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Quadratic twists for elliptic curve 44376d1

-4	-43
88752b1	44376g1

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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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