Cremona's table of elliptic curves

16080 = 2⁴ · 3 · 5 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 67-	Signs for the Atkin-Lehner involutions
Class	16080l	Isogeny class
Conductor	16080	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-83570729011200 = -1 · 211 · 34 · 52 · 674	Discriminant
Eigenvalues	2+ 3- 5-  4  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12400,685748]	[a1,a2,a3,a4,a6]
j	-102965999263202/40806020025	j-invariant
L	4.5613125336724	L(r)(E,1)/r!
Ω	0.57016406670906	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	8040i4 64320bs3 48240p3 80400c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16080l4

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	-4	2	4	-10	-6	-4	4	6	12	10	-	-12	10	-4	-12	-6	2

---

Quadratic twists for elliptic curve 16080l4

-4	8	-3	5
8040i4	64320bs3	48240p3	80400c3

---

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