Cremona's table of elliptic curves

1806 = 2 · 3 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 43-	Signs for the Atkin-Lehner involutions
Class	1806n	Isogeny class
Conductor	1806	Conductor
∏ cp	715	Product of Tamagawa factors cp
deg	11440	Modular degree for the optimal curve
Δ	1048775180673024 = 213 · 311 · 75 · 43	Discriminant
Eigenvalues	2- 3- -3 7- -4 -3 -7  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-25757,320049]	[a1,a2,a3,a4,a6]
Generators	[-116:1381:1]	Generators of the group modulo torsion
j	1889777177808124753/1048775180673024	j-invariant
L	4.1597534084502	L(r)(E,1)/r!
Ω	0.4263777666344	Real period
R	0.013644794335357	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14448m1 57792t1 5418j1 45150d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1806n1

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
-	-	-3	-	-4	-3	-7	1	-3	0	1	-3	-9	-	2	3	-1	-8	-1	10	10	2	-12	6	-6

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Quadratic twists for elliptic curve 1806n1

-4	8	-3	5	-7	-43
14448m1	57792t1	5418j1	45150d1	12642bc1	77658e1

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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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