Cremona's table of elliptic curves

5814 = 2 · 3² · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 17- 19+	Signs for the Atkin-Lehner involutions
Class	5814h	Isogeny class
Conductor	5814	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	6460272612 = 22 · 36 · 17 · 194	Discriminant
Eigenvalues	2+ 3- -4  4 -2 -6 17- 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2169,-38151]	[a1,a2,a3,a4,a6]
Generators	[-27:27:1]	Generators of the group modulo torsion
j	1548415333009/8861828	j-invariant
L	2.3276145117138	L(r)(E,1)/r!
Ω	0.6998016414432	Real period
R	1.6630530523718	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46512bs1 646c1 98838n1 110466by1	Quadratic twists by: -4 -3 17 -19

Hecke Eigenvalues for elliptic curve 5814h1

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
+	-	-4	4	-2	-6	-	+	0	8	8	-4	-10	0	8	6	0	-8	8	12	-6	-4	-8	-18	2

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Quadratic twists for elliptic curve 5814h1

-4	-3	17	-19
46512bs1	646c1	98838n1	110466by1

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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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