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	9282c	Isogeny class
Conductor	9282	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	4842372001819716 = 22 · 36 · 76 · 132 · 174	Discriminant
Eigenvalues	2+ 3+  2 7- -4 13+ 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1784289,-918110655]	[a1,a2,a3,a4,a6]
Generators	[3208:160831:1]	Generators of the group modulo torsion
j	628231468580531210149273/4842372001819716	j-invariant
L	3.0416858367052	L(r)(E,1)/r!
Ω	0.13062714179467	Real period
R	1.9404376168918	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	74256cm2 27846bj2 64974y2 120666bk2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282c2

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	-	-4	+	-	-4	4	2	-8	2	2	12	-8	10	0	-6	8	0	14	-16	0	2	6

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Quadratic twists for elliptic curve 9282c2

-4	-3	-7	13
74256cm2	27846bj2	64974y2	120666bk2

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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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