Cremona's table of elliptic curves

1660 = 2² · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 5- 83+	Signs for the Atkin-Lehner involutions
Class	1660c	Isogeny class
Conductor	1660	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	216	Modular degree for the optimal curve
Δ	-33200 = -1 · 24 · 52 · 83	Discriminant
Eigenvalues	2- -3 5-  3 -5 -2 -1 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,8,1]	[a1,a2,a3,a4,a6]
Generators	[2:5:1]	Generators of the group modulo torsion
j	3538944/2075	j-invariant
L	2.0098486557619	L(r)(E,1)/r!
Ω	2.2361125800707	Real period
R	0.14980228587137	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6640h1 26560c1 14940a1 8300d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1660c1

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
-	-3	-	3	-5	-2	-1	-2	0	5	-3	7	-2	6	2	-2	-15	-11	-16	-12	2	8	+	-6	8

---

Quadratic twists for elliptic curve 1660c1

-4	8	-3	5	-7
6640h1	26560c1	14940a1	8300d1	81340e1

---

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