Cremona's table of elliptic curves

12120 = 2³ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 101+	Signs for the Atkin-Lehner involutions
Class	12120l	Isogeny class
Conductor	12120	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-698112000 = -1 · 211 · 33 · 53 · 101	Discriminant
Eigenvalues	2- 3+ 5- -1  4 -3  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,80,-1268]	[a1,a2,a3,a4,a6]
Generators	[9:10:1]	Generators of the group modulo torsion
j	27303838/340875	j-invariant
L	4.2070177711111	L(r)(E,1)/r!
Ω	0.78992280570056	Real period
R	1.7752864544699	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24240l1 96960bf1 36360e1 60600k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120l1

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
-	+	-	-1	4	-3	3	-4	0	-2	9	-2	2	-5	-13	-11	-2	9	4	2	-11	7	9	-11	-2

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Quadratic twists for elliptic curve 12120l1

-4	8	-3	5
24240l1	96960bf1	36360e1	60600k1

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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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