Cremona's table of elliptic curves

10065 = 3 · 5 · 11 · 61

Field	Data	Notes
Atkin-Lehner	3- 5- 11+ 61-	Signs for the Atkin-Lehner involutions
Class	10065l	Isogeny class
Conductor	10065	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	10262546002850625 = 34 · 54 · 114 · 614	Discriminant
Eigenvalues	-1 3- 5-  0 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-279380,-56652225]	[a1,a2,a3,a4,a6]
j	2411624839052912627521/10262546002850625	j-invariant
L	1.6616972162127	L(r)(E,1)/r!
Ω	0.20771215202659	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	30195h3 50325d3 110715t3	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 10065l3

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

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Quadratic twists for elliptic curve 10065l3

-3	5	-11
30195h3	50325d3	110715t3

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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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