Cremona's table of elliptic curves

510 = 2 · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17+	Signs for the Atkin-Lehner involutions
Class	510g	Isogeny class
Conductor	510	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1448254140 = -1 · 22 · 3 · 5 · 176	Discriminant
Eigenvalues	2- 3- 5-  2  0 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3275,-72435]	[a1,a2,a3,a4,a6]
j	-3884775383991601/1448254140	j-invariant
L	2.8398724829622	L(r)(E,1)/r!
Ω	0.3155413869958	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4080v3 16320b3 1530d3 2550d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 510g3

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	0	-4	+	-4	0	6	-4	2	0	2	0	-6	6	-10	2	-6	-16	8	0	6	-4

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Quadratic twists for elliptic curve 510g3

-4	8	-3	5	-7	-11	13	17
4080v3	16320b3	1530d3	2550d3	24990bm3	61710bk3	86190w3	8670n3

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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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