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	9282t	Isogeny class
Conductor	9282	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	41760	Modular degree for the optimal curve
Δ	-31836860010774 = -1 · 2 · 36 · 7 · 133 · 175	Discriminant
Eigenvalues	2- 3- -1 7-  0 13+ 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-33261,2347767]	[a1,a2,a3,a4,a6]
j	-4069400507818743889/31836860010774	j-invariant
L	3.9695895263156	L(r)(E,1)/r!
Ω	0.66159825438593	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74256bh1 27846o1 64974bm1 120666q1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282t1

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	-	0	+	+	-6	8	-1	-6	4	10	10	7	-12	14	10	-7	13	16	0	6	1	6

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Quadratic twists for elliptic curve 9282t1

-4	-3	-7	13
74256bh1	27846o1	64974bm1	120666q1

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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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