Cremona's table of elliptic curves

6083 = 7 · 11 · 79

Field	Data	Notes
Atkin-Lehner	7+ 11- 79-	Signs for the Atkin-Lehner involutions
Class	6083d	Isogeny class
Conductor	6083	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1400	Modular degree for the optimal curve
Δ	-14605283 = -1 · 75 · 11 · 79	Discriminant
Eigenvalues	0  1 -4 7+ 11-  2  2 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,55,-80]	[a1,a2,a3,a4,a6]
Generators	[2:6:1]	Generators of the group modulo torsion
j	18067226624/14605283	j-invariant
L	2.6183635244918	L(r)(E,1)/r!
Ω	1.2318841200531	Real period
R	2.1254949892356	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	97328y1 54747e1 42581m1 66913e1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 6083d1

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
0	1	-4	+	-	2	2	-1	-5	10	-8	2	0	9	9	10	-9	-12	8	2	6	-	-4	-14	2

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Quadratic twists for elliptic curve 6083d1

-4	-3	-7	-11
97328y1	54747e1	42581m1	66913e1

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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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