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	16170bq	Isogeny class
Conductor	16170	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	117160089156633600 = 210 · 38 · 52 · 78 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-299440,-61005295]	[a1,a2,a3,a4,a6]
j	25238585142450289/995844326400	j-invariant
L	4.0917297473904	L(r)(E,1)/r!
Ω	0.20458648736952	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	129360ih2 48510bf2 80850ch2 2310q2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bq2

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
-	+	-	-	+	6	6	4	-4	2	0	2	2	-4	8	2	-8	-2	4	8	6	12	0	-2	2

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Quadratic twists for elliptic curve 16170bq2

-4	-3	5	-7
129360ih2	48510bf2	80850ch2	2310q2

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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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