Cremona's table of elliptic curves

5810 = 2 · 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 83-	Signs for the Atkin-Lehner involutions
Class	5810a	Isogeny class
Conductor	5810	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1760	Modular degree for the optimal curve
Δ	-11620000 = -1 · 25 · 54 · 7 · 83	Discriminant
Eigenvalues	2+  2 5+ 7-  5 -2 -2  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-168,-928]	[a1,a2,a3,a4,a6]
Generators	[101:962:1]	Generators of the group modulo torsion
j	-529278808969/11620000	j-invariant
L	4.0776485531823	L(r)(E,1)/r!
Ω	0.66167064431307	Real period
R	3.0813279901631	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	46480k1 52290co1 29050l1 40670i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5810a1

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
+	2	+	-	5	-2	-2	3	-4	-6	-7	-8	-6	-8	-8	-3	6	-1	-4	7	-7	-1	-	9	-6

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Quadratic twists for elliptic curve 5810a1

-4	-3	5	-7
46480k1	52290co1	29050l1	40670i1

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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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