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	2093c	Isogeny class
Conductor	2093	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	-14651 = -1 · 72 · 13 · 23	Discriminant
Eigenvalues	0 -1  1 7+  5 13- -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-5,9]	[a1,a2,a3,a4,a6]
Generators	[-1:3:1]	Generators of the group modulo torsion
j	-16777216/14651	j-invariant
L	2.2578364616818	L(r)(E,1)/r!
Ω	3.6117190628172	Real period
R	0.31257088693946	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	33488ba1 18837d1 52325i1 14651i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2093c1

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	1	+	5	-	-6	-1	-	2	10	-6	8	-4	-12	4	8	-6	-3	-10	0	-4	-9	-14	-13

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Quadratic twists for elliptic curve 2093c1

-4	-3	5	-7	13	-23
33488ba1	18837d1	52325i1	14651i1	27209m1	48139o1

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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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