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	106722gz	Isogeny class
Conductor	106722	Conductor
∏ cp	312	Product of Tamagawa factors cp
deg	276756480	Modular degree for the optimal curve
Δ	-1.1027868592342E+31	Discriminant
Eigenvalues	2- 3-  2 7- 11- -5 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2896860856,-148075060726645]	[a1,a2,a3,a4,a6]
Generators	[772950:256830965:8]	Generators of the group modulo torsion
j	146234339790153527/599838494072832	j-invariant
L	11.300620496401	L(r)(E,1)/r!
Ω	0.011514083363328	Real period
R	3.1457074157432	Regulator
r	1	Rank of the group of rational points
S	1.0000000018487	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35574bj1 15246bh1 106722di1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722gz1

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	-	-	-5	-6	-4	-1	1	1	12	-9	5	10	2	13	11	-7	1	-4	4	-11	13	12

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Quadratic twists for elliptic curve 106722gz1

-3	-7	-11
35574bj1	15246bh1	106722di1

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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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