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	9792c	Isogeny class
Conductor	9792	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1584375054336 = -1 · 214 · 39 · 173	Discriminant
Eigenvalues	2+ 3+ -3  2 -3  1 17+  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-864,61344]	[a1,a2,a3,a4,a6]
Generators	[-39:189:1]	Generators of the group modulo torsion
j	-221184/4913	j-invariant
L	3.7471366335551	L(r)(E,1)/r!
Ω	0.70950562397595	Real period
R	2.6406673230839	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9792be2 612a2 9792f1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9792c2

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
+	+	-3	2	-3	1	+	7	3	-6	-4	-2	9	1	-12	-12	6	-2	4	0	8	14	12	-6	-16

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Quadratic twists for elliptic curve 9792c2

-4	8	-3
9792be2	612a2	9792f1

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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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