Cremona's table of elliptic curves

9576 = 2³ · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	9576g	Isogeny class
Conductor	9576	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-772241227204608 = -1 · 211 · 310 · 72 · 194	Discriminant
Eigenvalues	2+ 3- -2 7+  4 -6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,9069,-1295026]	[a1,a2,a3,a4,a6]
j	55251546334/517244049	j-invariant
L	0.99764568375462	L(r)(E,1)/r!
Ω	0.24941142093865	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152ba4 76608bv3 3192j4 67032bf3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9576g4

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

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Quadratic twists for elliptic curve 9576g4

-4	8	-3	-7
19152ba4	76608bv3	3192j4	67032bf3

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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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