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	2093f	Isogeny class
Conductor	2093	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-369990050199923699 = -1 · 712 · 133 · 233	Discriminant
Eigenvalues	0  1  3 7- -3 13- -6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-159549,-38239046]	[a1,a2,a3,a4,a6]
Generators	[9346:902723:1]	Generators of the group modulo torsion
j	-449167881463536812032/369990050199923699	j-invariant
L	3.4091455862573	L(r)(E,1)/r!
Ω	0.11540058649975	Real period
R	7.3854598353031	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	33488t2 18837r2 52325d2 14651e2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2093f2

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	3	-	-3	-	-6	-7	+	-6	-4	2	6	-10	0	12	0	8	5	0	-16	-10	-15	6	17

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Quadratic twists for elliptic curve 2093f2

-4	-3	5	-7	13	-23
33488t2	18837r2	52325d2	14651e2	27209b2	48139f2

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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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