Cremona's table of elliptic curves

8554 = 2 · 7 · 13 · 47

Field	Data	Notes
Atkin-Lehner	2+ 7- 13- 47+	Signs for the Atkin-Lehner involutions
Class	8554f	Isogeny class
Conductor	8554	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1.7884886761962E+22	Discriminant
Eigenvalues	2+ -2  0 7-  0 13- -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3236376,-6813650458]	[a1,a2,a3,a4,a6]
Generators	[622932:59855917:64]	Generators of the group modulo torsion
j	-3748870469290505973765625/17884886761961813181952	j-invariant
L	2.164461225798	L(r)(E,1)/r!
Ω	0.050926422337665	Real period
R	10.62543335288	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	68432j3 76986bo3 59878i3 111202s3	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 8554f3

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	0	-	0	-	-3	2	0	3	5	-7	-3	-1	+	6	3	-10	14	0	2	-1	-15	-6	8

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Quadratic twists for elliptic curve 8554f3

-4	-3	-7	13
68432j3	76986bo3	59878i3	111202s3

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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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