Cremona's table of elliptic curves

9555 = 3 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	9555q	Isogeny class
Conductor	9555	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	2187523839574280025 = 312 · 52 · 78 · 134	Discriminant
Eigenvalues	-1 3- 5+ 7-  4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-445901,89800080]	[a1,a2,a3,a4,a6]
Generators	[-617:11716:1]	Generators of the group modulo torsion
j	83339496416030401/18593645841225	j-invariant
L	3.2755389909555	L(r)(E,1)/r!
Ω	0.24530319181393	Real period
R	1.1127518584702	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	28665bp3 47775p3 1365b3 124215cw3	Quadratic twists by: -3 5 -7 13

Hecke Eigenvalues for elliptic curve 9555q4

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

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Quadratic twists for elliptic curve 9555q4

-3	5	-7	13
28665bp3	47775p3	1365b3	124215cw3

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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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