Cremona's table of elliptic curves

1065 = 3 · 5 · 71

Field	Data	Notes
Atkin-Lehner	3+ 5- 71+	Signs for the Atkin-Lehner involutions
Class	1065b	Isogeny class
Conductor	1065	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2329155 = 38 · 5 · 71	Discriminant
Eigenvalues	-1 3+ 5-  4  4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1895,30962]	[a1,a2,a3,a4,a6]
j	752602538173681/2329155	j-invariant
L	1.1282339944332	L(r)(E,1)/r!
Ω	2.2564679888665	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17040bd3 68160z4 3195c3 5325j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1065b4

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
-1	+	-	4	4	2	-2	-4	4	-2	0	-2	10	-4	-4	10	4	6	-8	+	-6	8	-4	10	-10

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Quadratic twists for elliptic curve 1065b4

-4	8	-3	5	-7	-11	-71
17040bd3	68160z4	3195c3	5325j4	52185i4	128865i4	75615f4

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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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