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	9282d	Isogeny class
Conductor	9282	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	39371006735424 = 26 · 32 · 72 · 136 · 172	Discriminant
Eigenvalues	2+ 3+ -2 7-  4 13+ 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-99606,-12137580]	[a1,a2,a3,a4,a6]
Generators	[1332:46458:1]	Generators of the group modulo torsion
j	109291660572926209897/39371006735424	j-invariant
L	2.5589367634198	L(r)(E,1)/r!
Ω	0.26874290108419	Real period
R	4.7609383412478	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	74256cn2 27846bi2 64974x2 120666bj2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 9282d2

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	6	0	-2	-2	-4	-12	-6	-4	6	-12	16	6	0	-12	-6	14

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Quadratic twists for elliptic curve 9282d2

-4	-3	-7	13
74256cn2	27846bi2	64974x2	120666bj2

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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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