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	480	Product of Tamagawa factors cp
deg	2211840	Modular degree for the optimal curve
Δ	-1.0353883772103E+23	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-16309651,-29706673375]	[a1,a2,a3,a4,a6]
j	-4078208988807294650401/880065599546327040	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	2	Number of elements in the torsion subgroup
Twists	129360ef1 48510bs1 80850j1 2310o1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bw1

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

---

Quadratic twists for elliptic curve 16170bw1

-4	-3	5	-7
129360ef1	48510bs1	80850j1	2310o1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations