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	9576o	Isogeny class
Conductor	9576	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	82982061695232 = 28 · 39 · 74 · 193	Discriminant
Eigenvalues	2- 3+ -4 7+  2  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-59967,5635170]	[a1,a2,a3,a4,a6]
Generators	[37:1862:1]	Generators of the group modulo torsion
j	4732922819952/16468459	j-invariant
L	3.1592253148409	L(r)(E,1)/r!
Ω	0.61028113413678	Real period
R	0.43138934092911	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	19152j1 76608a1 9576b1 67032bl1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9576o1

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
-	+	-4	+	2	2	0	-	-6	-6	-4	10	2	-4	-2	-6	12	-6	8	4	10	4	2	18	-6

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Quadratic twists for elliptic curve 9576o1

-4	8	-3	-7
19152j1	76608a1	9576b1	67032bl1

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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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