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	18270bx	Isogeny class
Conductor	18270	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	14505452512488000 = 26 · 312 · 53 · 76 · 29	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-79963907,275245775939]	[a1,a2,a3,a4,a6]
Generators	[3627:179626:1]	Generators of the group modulo torsion
j	77567214327657812308568809/19897740072000	j-invariant
L	8.28153522799	L(r)(E,1)/r!
Ω	0.23295271006235	Real period
R	2.9625237477646	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	6090j3 91350ba3 127890eq3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 18270bx3

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

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Quadratic twists for elliptic curve 18270bx3

-3	5	-7
6090j3	91350ba3	127890eq3

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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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