Cremona's table of elliptic curves

106722 = 2 · 3² · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	106722ej	Isogeny class
Conductor	106722	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1360800	Modular degree for the optimal curve
Δ	-2205942470861976 = -1 · 23 · 33 · 78 · 116	Discriminant
Eigenvalues	2- 3+ -3 7+ 11- -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-552509,-157950691]	[a1,a2,a3,a4,a6]
Generators	[989054193:-118811784160:68921]	Generators of the group modulo torsion
j	-67645179/8	j-invariant
L	8.4140849741347	L(r)(E,1)/r!
Ω	0.087555150679163	Real period
R	16.016733279666	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	106722k2 106722fe1 882a1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722ej1

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
-	+	-3	+	-	-2	6	-2	6	9	-7	-10	0	4	-12	3	3	4	2	0	-2	-5	9	6	-13

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Quadratic twists for elliptic curve 106722ej1

-3	-7	-11
106722k2	106722fe1	882a1

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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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