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	106722hh	Isogeny class
Conductor	106722	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	36126720	Modular degree for the optimal curve
Δ	-7.5318010079064E+25	Discriminant
Eigenvalues	2- 3- -2 7- 11- -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-169635731,-947338337613]	[a1,a2,a3,a4,a6]
Generators	[154909641:17730981014:6859]	Generators of the group modulo torsion
j	-10358806345399/1445216256	j-invariant
L	8.5022750187439	L(r)(E,1)/r!
Ω	0.020755774257866	Real period
R	7.3148964570143	Regulator
r	1	Rank of the group of rational points
S	1.0000000002567	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35574m1 106722gy1 9702s1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722hh1

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	-	-	-4	6	-2	0	-6	2	2	-2	12	6	-10	-8	-4	0	8	-6	-12	6	12	0

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Quadratic twists for elliptic curve 106722hh1

-3	-7	-11
35574m1	106722gy1	9702s1

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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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