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	9555o	Isogeny class
Conductor	9555	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	12600	Modular degree for the optimal curve
Δ	-592559296875 = -1 · 35 · 57 · 74 · 13	Discriminant
Eigenvalues	0 3- 5+ 7+  5 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-261,-37159]	[a1,a2,a3,a4,a6]
j	-822083584/246796875	j-invariant
L	2.0525449839089	L(r)(E,1)/r!
Ω	0.41050899678177	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28665bj1 47775f1 9555i1 124215cm1	Quadratic twists by: -3 5 -7 13

Hecke Eigenvalues for elliptic curve 9555o1

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	-	+	+	5	+	-2	2	8	4	-8	11	-6	-8	-4	3	-3	9	13	-1	15	-5	-6	1	-2

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Quadratic twists for elliptic curve 9555o1

-3	5	-7	13
28665bj1	47775f1	9555i1	124215cm1

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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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