Cremona's table of elliptic curves

9792 = 2⁶ · 3² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17+	Signs for the Atkin-Lehner involutions
Class	9792k	Isogeny class
Conductor	9792	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	994117681152 = 219 · 38 · 172	Discriminant
Eigenvalues	2+ 3- -2  0 -4  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-15980556,24588721136]	[a1,a2,a3,a4,a6]
j	2361739090258884097/5202	j-invariant
L	0.81117454068388	L(r)(E,1)/r!
Ω	0.40558727034194	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	9792bq5 306c5 3264h5	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9792k5

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

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Quadratic twists for elliptic curve 9792k5

-4	8	-3
9792bq5	306c5	3264h5

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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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