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	2210850 = 2 · 32 · 52 · 173	Discriminant
Eigenvalues	2- 3- 5-  2  0 -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-52405,-4621873]	[a1,a2,a3,a4,a6]
j	15916310615119911121/2210850	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	4080v4 16320b4 1530d4 2550d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 510g4

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 510g4

-4	8	-3	5	-7	-11	13	17
4080v4	16320b4	1530d4	2550d4	24990bm4	61710bk4	86190w4	8670n4

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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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