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	4	Product of Tamagawa factors cp
deg	2592	Modular degree for the optimal curve
Δ	-611319808 = -1 · 220 · 11 · 53	Discriminant
Eigenvalues	2-  0 -2  0 11-  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,109,1106]	[a1,a2,a3,a4,a6]
j	34965783/149248	j-invariant
L	1.1631892845178	L(r)(E,1)/r!
Ω	1.1631892845178	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	1166b1 37312s1 83952k1 102608w1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9328m1

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 9328m1

-4	8	-3	-11
1166b1	37312s1	83952k1	102608w1

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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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