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	106722bc	Isogeny class
Conductor	106722	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1571328	Modular degree for the optimal curve
Δ	-350221061297137338 = -1 · 2 · 39 · 73 · 1110	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,172947,-6701689]	[a1,a2,a3,a4,a6]
Generators	[149:4654:1]	Generators of the group modulo torsion
j	3267/2	j-invariant
L	3.6616829206072	L(r)(E,1)/r!
Ω	0.17547180429297	Real period
R	5.2169107060656	Regulator
r	1	Rank of the group of rational points
S	0.99999999532799	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106722es1 106722t1 106722ew1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722bc1

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	-	-	1	-6	-4	3	9	7	-10	7	9	-6	10	-11	13	3	-11	6	-6	-9	3	-12

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Quadratic twists for elliptic curve 106722bc1

-3	-7	-11
106722es1	106722t1	106722ew1

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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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