Cremona's table of elliptic curves

10830 = 2 · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	10830y	Isogeny class
Conductor	10830	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	550267442528400 = 24 · 34 · 52 · 198	Discriminant
Eigenvalues	2- 3+ 5- -4 -4  6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-24375,923517]	[a1,a2,a3,a4,a6]
j	34043726521/11696400	j-invariant
L	1.9087345057283	L(r)(E,1)/r!
Ω	0.47718362643207	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	86640ef2 32490l2 54150bc2 570e2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 10830y2

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
-	+	-	-4	-4	6	-6	-	4	-6	8	-2	-10	-8	12	-2	4	-2	12	16	-14	-8	0	6	-14

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Quadratic twists for elliptic curve 10830y2

-4	-3	5	-19
86640ef2	32490l2	54150bc2	570e2

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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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