Cremona's table of elliptic curves

16920 = 2³ · 3² · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 47+	Signs for the Atkin-Lehner involutions
Class	16920p	Isogeny class
Conductor	16920	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1106458688136960000 = 211 · 311 · 54 · 474	Discriminant
Eigenvalues	2- 3- 5- -4 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-258987,-3505466]	[a1,a2,a3,a4,a6]
j	1286767627578578/741101551875	j-invariant
L	0.9216686733424	L(r)(E,1)/r!
Ω	0.2304171683356	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	33840q4 5640c3 84600t4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 16920p3

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

---

Quadratic twists for elliptic curve 16920p3

-4	-3	5
33840q4	5640c3	84600t4

---

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