Cremona's table of elliptic curves

160 = 2⁵ · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	160b	Isogeny class
Conductor	160	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-102400 = -1 · 212 · 52	Discriminant
Eigenvalues	2-  2 5+  2  4 -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,-15]	[a1,a2,a3,a4,a6]
j	-64/25	j-invariant
L	1.5057762277219	L(r)(E,1)/r!
Ω	1.5057762277219	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	160a2 320e1 1440f2 800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 160b2

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	4	-6	2	-8	6	-2	-4	2	-10	2	2	2	0	2	6	12	10	8	10	-6	10

---

Quadratic twists for elliptic curve 160b2

-4	8	-3	5	-7	-11	13	17	-19	-23
160a2	320e1	1440f2	800c2	7840y2	19360e2	27040j2	46240bf2	57760e2	84640t2

---

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