Cremona's table of elliptic curves

1083 = 3 · 19²

Field	Data	Notes
Atkin-Lehner	3+ 19+	Signs for the Atkin-Lehner involutions
Class	1083a	Isogeny class
Conductor	1083	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-37143052370667 = -1 · 37 · 198	Discriminant
Eigenvalues	1 3+  0  1 -2  5 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-239350,-45171941]	[a1,a2,a3,a4,a6]
Generators	[430173213009834:9391164040457921:509508053803]	Generators of the group modulo torsion
j	-89289015625/2187	j-invariant
L	2.6979016147208	L(r)(E,1)/r!
Ω	0.10792208486893	Real period
R	24.998605410535	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	17328ba2 69312bc2 3249b2 27075m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1083a2

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	+	0	1	-2	5	-4	+	-4	-8	-3	3	-12	-1	-6	4	10	-13	11	6	-11	1	0	-6	2

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Quadratic twists for elliptic curve 1083a2

-4	8	-3	5	-7	-19
17328ba2	69312bc2	3249b2	27075m2	53067m2	1083d2

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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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