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	16170ca	Isogeny class
Conductor	16170	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	129024	Modular degree for the optimal curve
Δ	-1757803120920000 = -1 · 26 · 32 · 54 · 79 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,30134,-120604]	[a1,a2,a3,a4,a6]
Generators	[26:812:1]	Generators of the group modulo torsion
j	74991286313/43560000	j-invariant
L	8.6078648006631	L(r)(E,1)/r!
Ω	0.2791046861828	Real period
R	1.2850412447968	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	129360dz1 48510bk1 80850v1 16170bu1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170ca1

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	-2	-6	-8	-6	10	-6	-10	12	-6	-6	0	-4	-8	-16	6	4	-10	-4	8

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Quadratic twists for elliptic curve 16170ca1

-4	-3	5	-7
129360dz1	48510bk1	80850v1	16170bu1

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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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