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	96	Product of Tamagawa factors cp
Δ	21750770720030625 = 36 · 54 · 710 · 132	Discriminant
Eigenvalues	-1 3- 5+ 7-  4 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-145776,-20225745]	[a1,a2,a3,a4,a6]
Generators	[-237:1131:1]	Generators of the group modulo torsion
j	2912015927948401/184878500625	j-invariant
L	3.2755389909555	L(r)(E,1)/r!
Ω	0.24530319181393	Real period
R	2.2255037169404	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	28665bp2 47775p2 1365b2 124215cw2	Quadratic twists by: -3 5 -7 13

Hecke Eigenvalues for elliptic curve 9555q2

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 9555q2

-3	5	-7	13
28665bp2	47775p2	1365b2	124215cw2

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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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