Cremona's table of elliptic curves

4046 = 2 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2- 7- 17-	Signs for the Atkin-Lehner involutions
Class	4046r	Isogeny class
Conductor	4046	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	3024	Modular degree for the optimal curve
Δ	-229181624 = -1 · 23 · 73 · 174	Discriminant
Eigenvalues	2-  1  3 7-  0  5 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2029,35017]	[a1,a2,a3,a4,a6]
j	-11060825617/2744	j-invariant
L	5.1657473001059	L(r)(E,1)/r!
Ω	1.721915766702	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	32368q1 129472bn1 36414bn1 101150l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4046r1

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
-	1	3	-	0	5	-	-4	3	6	2	-4	6	-4	6	-12	12	-1	8	-9	-16	8	-3	6	-10

---

Quadratic twists for elliptic curve 4046r1

-4	8	-3	5	-7	17
32368q1	129472bn1	36414bn1	101150l1	28322bi1	4046j1

---

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