Cremona's table of elliptic curves

5166 = 2 · 3² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 41-	Signs for the Atkin-Lehner involutions
Class	5166bm	Isogeny class
Conductor	5166	Conductor
∏ cp	816	Product of Tamagawa factors cp
Δ	3.1765896867752E+19	Discriminant
Eigenvalues	2- 3- -4 7- -4  4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6183347,-5910354925]	[a1,a2,a3,a4,a6]
Generators	[-1469:1882:1]	Generators of the group modulo torsion
j	35864681248144538691049/43574618474283008	j-invariant
L	4.5673940610956	L(r)(E,1)/r!
Ω	0.095747036119842	Real period
R	0.23383686306462	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	41328bt2 574d2 129150y2 36162cx2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5166bm2

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

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Quadratic twists for elliptic curve 5166bm2

-4	-3	5	-7
41328bt2	574d2	129150y2	36162cx2

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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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