Cremona's table of elliptic curves

2093 = 7 · 13 · 23

Field	Data	Notes
Atkin-Lehner	7+ 13- 23+	Signs for the Atkin-Lehner involutions
Class	2093b	Isogeny class
Conductor	2093	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4136	Modular degree for the optimal curve
Δ	591220696157 = 711 · 13 · 23	Discriminant
Eigenvalues	0  2 -4 7+ -5 13-  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-3575,74692]	[a1,a2,a3,a4,a6]
j	5054443262672896/591220696157	j-invariant
L	0.88708398821752	L(r)(E,1)/r!
Ω	0.88708398821752	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33488bc1 18837e1 52325k1 14651g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2093b1

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	2	-4	+	-5	-	3	-4	+	1	7	9	-5	2	0	2	13	3	3	-14	3	-4	0	2	-10

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Quadratic twists for elliptic curve 2093b1

-4	-3	5	-7	13	-23
33488bc1	18837e1	52325k1	14651g1	27209l1	48139p1

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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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