Cremona's table of elliptic curves

9282 = 2 · 3 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 13+ 17-	Signs for the Atkin-Lehner involutions
Class	9282i	Isogeny class
Conductor	9282	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	668304 = 24 · 33 · 7 · 13 · 17	Discriminant
Eigenvalues	2+ 3- -2 7+  0 13+ 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-872,9830]	[a1,a2,a3,a4,a6]
Generators	[18:-2:1]	Generators of the group modulo torsion
j	73207745356537/668304	j-invariant
L	3.1798818958072	L(r)(E,1)/r!
Ω	2.588806151448	Real period
R	0.81887987738509	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	74256cb1 27846bd1 64974m1 120666ci1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282i1

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	+	0	+	-	-4	0	2	8	6	10	-12	-12	2	12	2	-4	8	10	4	-4	-6	2

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Quadratic twists for elliptic curve 9282i1

-4	-3	-7	13
74256cb1	27846bd1	64974m1	120666ci1

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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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