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	106722hb	Isogeny class
Conductor	106722	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	1105920	Modular degree for the optimal curve
Δ	80224275164817168 = 24 · 37 · 76 · 117	Discriminant
Eigenvalues	2- 3-  2 7- 11- -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-107834,-215575]	[a1,a2,a3,a4,a6]
Generators	[-305:2209:1]	Generators of the group modulo torsion
j	912673/528	j-invariant
L	12.01028579767	L(r)(E,1)/r!
Ω	0.28871706113637	Real period
R	2.5999255452581	Regulator
r	1	Rank of the group of rational points
S	0.99999999967239	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35574bk1 2178k1 9702x1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722hb1

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	-	-	-6	-2	4	-4	6	0	6	6	-4	-12	-2	12	-14	4	12	-6	4	-4	10	14

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Quadratic twists for elliptic curve 106722hb1

-3	-7	-11
35574bk1	2178k1	9702x1

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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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