Cremona's table of elliptic curves

9328 = 2⁴ · 11 · 53

Field	Data	Notes
Atkin-Lehner	2- 11- 53-	Signs for the Atkin-Lehner involutions
Class	9328m	Isogeny class
Conductor	9328	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1422054047744 = 214 · 11 · 534	Discriminant
Eigenvalues	2-  0 -2  0 11-  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4691,-109550]	[a1,a2,a3,a4,a6]
j	2787148207017/347181164	j-invariant
L	1.1631892845178	L(r)(E,1)/r!
Ω	0.58159464225892	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	1166b4 37312s3 83952k3 102608w3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9328m3

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
-	0	-2	0	-	6	-6	-4	4	6	-4	6	6	-4	-8	-	4	2	-8	-12	-2	0	4	-6	2

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Quadratic twists for elliptic curve 9328m3

-4	8	-3	-11
1166b4	37312s3	83952k3	102608w3

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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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