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	106722z	Isogeny class
Conductor	106722	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1105920	Modular degree for the optimal curve
Δ	194122937435853888 = 26 · 33 · 78 · 117	Discriminant
Eigenvalues	2+ 3+  2 7- 11- -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-152301,8640869]	[a1,a2,a3,a4,a6]
Generators	[-2770:36959:8]	Generators of the group modulo torsion
j	69426531/34496	j-invariant
L	5.0742213055216	L(r)(E,1)/r!
Ω	0.28216864649319	Real period
R	2.2478672655109	Regulator
r	1	Rank of the group of rational points
S	0.99999999902982	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	106722fc1 15246d1 9702bk1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722z1

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

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Quadratic twists for elliptic curve 106722z1

-3	-7	-11
106722fc1	15246d1	9702bk1

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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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