Cremona's table of elliptic curves

18270 = 2 · 3² · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	18270bw	Isogeny class
Conductor	18270	Conductor
∏ cp	896	Product of Tamagawa factors cp
Δ	3.410745921135E+19	Discriminant
Eigenvalues	2- 3- 5- 7+ -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-8227067,-9076309909]	[a1,a2,a3,a4,a6]
Generators	[-1649:2854:1]	Generators of the group modulo torsion
j	84475590599684970033769/46786638150000000	j-invariant
L	7.9466006546982	L(r)(E,1)/r!
Ω	0.089146179865288	Real period
R	0.39795194626973	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	6090g4 91350ce4 127890fh4	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 18270bw3

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	6	-6	4	0	-	-4	-6	-6	4	0	-10	0	2	-4	-8	-6	-4	-16	18	-6

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Quadratic twists for elliptic curve 18270bw3

-3	5	-7
6090g4	91350ce4	127890fh4

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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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