Cremona's table of elliptic curves

16380 = 2² · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Class	16380d	Isogeny class
Conductor	16380	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-7244218800 = -1 · 24 · 37 · 52 · 72 · 132	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4 13- -8 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48,4097]	[a1,a2,a3,a4,a6]
Generators	[-14:45:1] [-4:65:1]	Generators of the group modulo torsion
j	-1048576/621075	j-invariant
L	6.4792962702719	L(r)(E,1)/r!
Ω	1.0718820122006	Real period
R	0.25186604015657	Regulator
r	2	Rank of the group of rational points
S	0.99999999999992	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	65520df1 5460b1 81900y1 114660bt1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16380d1

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	-	-8	-4	-6	-10	-4	-6	-6	-8	-6	6	6	-2	4	0	-2	0	2	-10	2

---

Quadratic twists for elliptic curve 16380d1

-4	-3	5	-7
65520df1	5460b1	81900y1	114660bt1

---

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