Cremona's table of elliptic curves

2142 = 2 · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 17-	Signs for the Atkin-Lehner involutions
Class	2142l	Isogeny class
Conductor	2142	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	352	Modular degree for the optimal curve
Δ	-6580224 = -1 · 211 · 33 · 7 · 17	Discriminant
Eigenvalues	2- 3+ -1 7+ -1 -3 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-53,205]	[a1,a2,a3,a4,a6]
Generators	[7:-16:1]	Generators of the group modulo torsion
j	-599077107/243712	j-invariant
L	4.0714336900257	L(r)(E,1)/r!
Ω	2.2264888642509	Real period
R	0.083119736505264	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	17136u1 68544g1 2142a1 53550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2142l1

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	+	-1	-3	-	-2	-4	0	2	-7	0	-11	10	-9	-4	4	-13	8	-1	-1	-9	-3	7

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Quadratic twists for elliptic curve 2142l1

-4	8	-3	5	-7	17
17136u1	68544g1	2142a1	53550e1	14994bp1	36414bz1

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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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