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	106722hf	Isogeny class
Conductor	106722	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	368640	Modular degree for the optimal curve
Δ	-214399180469628 = -1 · 22 · 36 · 73 · 118	Discriminant
Eigenvalues	2- 3- -2 7- 11-  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,14134,275685]	[a1,a2,a3,a4,a6]
Generators	[4798:117387:8]	Generators of the group modulo torsion
j	704969/484	j-invariant
L	9.0373497848808	L(r)(E,1)/r!
Ω	0.35426619324681	Real period
R	3.1887567687156	Regulator
r	1	Rank of the group of rational points
S	1.0000000012988	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11858p1 106722gu1 9702r1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722hf1

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	-	-	2	0	-2	0	6	-4	2	-8	-12	12	2	10	-10	-12	-4	12	0	18	0	12

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Quadratic twists for elliptic curve 106722hf1

-3	-7	-11
11858p1	106722gu1	9702r1

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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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