Cremona's table of elliptic curves

2065 = 5 · 7 · 59

Field	Data	Notes
Atkin-Lehner	5- 7+ 59-	Signs for the Atkin-Lehner involutions
Class	2065a	Isogeny class
Conductor	2065	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-76146875 = -1 · 55 · 7 · 592	Discriminant
Eigenvalues	0 -3 5- 7+ -5  3 -1 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,8,-420]	[a1,a2,a3,a4,a6]
Generators	[28:147:1]	Generators of the group modulo torsion
j	56623104/76146875	j-invariant
L	1.5074417246128	L(r)(E,1)/r!
Ω	0.90051782689389	Real period
R	0.16739721075954	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	33040j1 18585c1 10325c1 14455a1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2065a1

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	-3	-	+	-5	3	-1	-4	0	3	10	8	0	2	3	-6	-	4	16	-16	-6	-17	-16	-8	-7

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Quadratic twists for elliptic curve 2065a1

-4	-3	5	-7	-59
33040j1	18585c1	10325c1	14455a1	121835f1

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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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