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	4046o	Isogeny class
Conductor	4046	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-453159477008 = -1 · 24 · 78 · 173	Discriminant
Eigenvalues	2-  0  0 7-  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,600,31739]	[a1,a2,a3,a4,a6]
Generators	[-13:153:1]	Generators of the group modulo torsion
j	4869777375/92236816	j-invariant
L	5.246181697909	L(r)(E,1)/r!
Ω	0.70000240524546	Real period
R	0.46840747069196	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	32368g2 129472y2 36414bd2 101150a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4046o2

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

---

Quadratic twists for elliptic curve 4046o2

-4	8	-3	5	-7	17
32368g2	129472y2	36414bd2	101150a2	28322r2	4046h2

---

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