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	5814t	Isogeny class
Conductor	5814	Conductor
∏ cp	352	Product of Tamagawa factors cp
Δ	-368926426278217728 = -1 · 211 · 314 · 172 · 194	Discriminant
Eigenvalues	2- 3- -4  2  0 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,5098,-29224155]	[a1,a2,a3,a4,a6]
Generators	[545:11355:1]	Generators of the group modulo torsion
j	20103678928871/506071915333632	j-invariant
L	4.8497538211857	L(r)(E,1)/r!
Ω	0.13914345658759	Real period
R	0.39607208437013	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	46512bh2 1938d2 98838bp2 110466x2	Quadratic twists by: -4 -3 17 -19

Hecke Eigenvalues for elliptic curve 5814t2

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	2	0	-2	-	-	-6	0	2	4	2	4	-8	10	-4	-8	-4	-14	-6	-6	-12	2	-2

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Quadratic twists for elliptic curve 5814t2

-4	-3	17	-19
46512bh2	1938d2	98838bp2	110466x2

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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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