Cremona's table of elliptic curves

801 = 3² · 89

Field	Data	Notes
Atkin-Lehner	3- 89+	Signs for the Atkin-Lehner involutions
Class	801a	Isogeny class
Conductor	801	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1904	Modular degree for the optimal curve
Δ	-8378742915603 = -1 · 323 · 89	Discriminant
Eigenvalues	0 3- -4 -2 -2  6 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-3972,-169349]	[a1,a2,a3,a4,a6]
j	-9506571157504/11493474507	j-invariant
L	0.57485664511844	L(r)(E,1)/r!
Ω	0.28742832255922	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12816j1 51264p1 267b1 20025g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 801a1

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
0	-	-4	-2	-2	6	-4	-4	3	-3	8	-8	11	8	2	8	9	-12	3	-10	1	-1	-9	+	7

---

Quadratic twists for elliptic curve 801a1

-4	8	-3	5	-7	-11	89
12816j1	51264p1	267b1	20025g1	39249l1	96921p1	71289b1

---

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