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	16170bd	Isogeny class
Conductor	16170	Conductor
∏ cp	640	Product of Tamagawa factors cp
Δ	2101484379802500 = 22 · 310 · 54 · 76 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-69263,6654638]	[a1,a2,a3,a4,a6]
Generators	[564:-12410:1]	Generators of the group modulo torsion
j	312341975961049/17862322500	j-invariant
L	4.7082306636959	L(r)(E,1)/r!
Ω	0.45712059264133	Real period
R	0.25749390530029	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	129360ex2 48510cv2 80850ei2 330a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bd2

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	-8	4	2	-8	-2	-6	8	4	2	-4	6	-12	-12	-2	0	-4	6	14

---

Quadratic twists for elliptic curve 16170bd2

-4	-3	5	-7
129360ex2	48510cv2	80850ei2	330a2

---

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