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	10830a	Isogeny class
Conductor	10830	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1.3549785504819E+19	Discriminant
Eigenvalues	2+ 3+ 5+ -2  0  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9306948,-10930905648]	[a1,a2,a3,a4,a6]
Generators	[51816:11748252:1]	Generators of the group modulo torsion
j	276288773643091/41990400	j-invariant
L	2.2475973129949	L(r)(E,1)/r!
Ω	0.086437398479515	Real period
R	6.5006506226802	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	86640cv2 32490bt2 54150cj2 10830bb2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 10830a2

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	2	-2	+	-2	-4	-4	2	4	10	6	6	4	-10	4	-4	-2	4	-10	-4	18

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Quadratic twists for elliptic curve 10830a2

-4	-3	5	-19
86640cv2	32490bt2	54150cj2	10830bb2

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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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