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	2093h	Isogeny class
Conductor	2093	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	216	Modular degree for the optimal curve
Δ	353717 = 7 · 133 · 23	Discriminant
Eigenvalues	0 -2  0 7- -3 13- -3  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-33,57]	[a1,a2,a3,a4,a6]
Generators	[-1:9:1]	Generators of the group modulo torsion
j	4096000000/353717	j-invariant
L	1.8003409203469	L(r)(E,1)/r!
Ω	2.9535864843998	Real period
R	1.8286320003047	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	33488w1 18837n1 52325e1 14651f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2093h1

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

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Quadratic twists for elliptic curve 2093h1

-4	-3	5	-7	13	-23
33488w1	18837n1	52325e1	14651f1	27209c1	48139g1

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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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