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	9792bp	Isogeny class
Conductor	9792	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	8192	Modular degree for the optimal curve
Δ	1827422208 = 214 · 38 · 17	Discriminant
Eigenvalues	2- 3-  2  4 -4 -6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1884,31408]	[a1,a2,a3,a4,a6]
Generators	[-46:144:1]	Generators of the group modulo torsion
j	61918288/153	j-invariant
L	5.3487374851859	L(r)(E,1)/r!
Ω	1.4890460524575	Real period
R	1.7960282277229	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	9792j1 2448d1 3264be1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 9792bp1

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

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Quadratic twists for elliptic curve 9792bp1

-4	8	-3
9792j1	2448d1	3264be1

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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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