Cremona's table of elliptic curves

16170 = 2 · 3 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	16170bw	Isogeny class
Conductor	16170	Conductor
∏ cp	1920	Product of Tamagawa factors cp
Δ	4.2030139553049E+26	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-285503891,-1573174372575]	[a1,a2,a3,a4,a6]
j	21876183941534093095979041/3572502915711058560000	j-invariant
L	4.4561239206518	L(r)(E,1)/r!
Ω	0.037134366005432	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	129360ef3 48510bs3 80850j3 2310o3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bw4

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	-2	4	8	6	-8	-2	-2	4	-8	-10	12	2	-4	8	-2	16	4	14	-10

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Quadratic twists for elliptic curve 16170bw4

-4	-3	5	-7
129360ef3	48510bs3	80850j3	2310o3

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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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