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	9282h	Isogeny class
Conductor	9282	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-1655470281336947712 = -1 · 210 · 314 · 76 · 132 · 17	Discriminant
Eigenvalues	2+ 3-  0 7+  4 13+ 17-  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-110321,-63499516]	[a1,a2,a3,a4,a6]
Generators	[747:16090:1]	Generators of the group modulo torsion
j	-148488432493486191625/1655470281336947712	j-invariant
L	4.0204734582936	L(r)(E,1)/r!
Ω	0.11327791968132	Real period
R	1.2675756952471	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	74256ca2 27846bc2 64974l2 120666ch2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282h2

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	+	4	+	-	8	-8	4	-8	-8	0	-4	-6	-6	-6	8	10	-16	-6	-16	-18	6	2

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Quadratic twists for elliptic curve 9282h2

-4	-3	-7	13
74256ca2	27846bc2	64974l2	120666ch2

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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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