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	9328i	Isogeny class
Conductor	9328	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-115812418304 = -1 · 28 · 115 · 532	Discriminant
Eigenvalues	2-  1  3  2 11+ -2 -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-68949,6945599]	[a1,a2,a3,a4,a6]
Generators	[115:742:1]	Generators of the group modulo torsion
j	-141603491201155072/452392259	j-invariant
L	6.1636705690472	L(r)(E,1)/r!
Ω	0.91726490306456	Real period
R	1.6799047223039	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	2332a1 37312bb1 83952q1 102608y1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 9328i1

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
-	1	3	2	+	-2	-8	0	-7	4	-7	7	12	-4	0	-	-3	-10	-9	-1	14	10	6	-5	17

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Quadratic twists for elliptic curve 9328i1

-4	8	-3	-11
2332a1	37312bb1	83952q1	102608y1

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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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