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	10830l	Isogeny class
Conductor	10830	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-24830818344094050 = -1 · 2 · 34 · 52 · 1910	Discriminant
Eigenvalues	2+ 3- 5+  0  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,71831,1609142]	[a1,a2,a3,a4,a6]
Generators	[676:18614:1]	Generators of the group modulo torsion
j	871257511151/527800050	j-invariant
L	3.9902351036416	L(r)(E,1)/r!
Ω	0.23214543593317	Real period
R	2.1485642651134	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	86640bw3 32490bv3 54150bu3 570g4	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 10830l4

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

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Quadratic twists for elliptic curve 10830l4

-4	-3	5	-19
86640bw3	32490bv3	54150bu3	570g4

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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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