Cremona's table of elliptic curves

106128 = 2⁴ · 3² · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 67+	Signs for the Atkin-Lehner involutions
Class	106128y	Isogeny class
Conductor	106128	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	115200	Modular degree for the optimal curve
Δ	-251543736576 = -1 · 28 · 33 · 112 · 673	Discriminant
Eigenvalues	2- 3+ -3  1 11- -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4599,-122446]	[a1,a2,a3,a4,a6]
Generators	[922:27918:1]	Generators of the group modulo torsion
j	-1556360540784/36392323	j-invariant
L	5.9283655929714	L(r)(E,1)/r!
Ω	0.28946977539841	Real period
R	5.120021239293	Regulator
r	1	Rank of the group of rational points
S	1.000000000047	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	26532a1 106128u2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 106128y1

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
-	+	-3	1	-	-4	6	4	3	0	1	5	9	1	0	-3	9	8	+	-12	-7	-8	9	0	8

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Quadratic twists for elliptic curve 106128y1

-4	-3
26532a1	106128u2

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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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