Cremona's table of elliptic curves

4060 = 2² · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 29-	Signs for the Atkin-Lehner involutions
Class	4060b	Isogeny class
Conductor	4060	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	23423195600 = 24 · 52 · 74 · 293	Discriminant
Eigenvalues	2-  0 5+ 7+ -2  6  8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-8048,277797]	[a1,a2,a3,a4,a6]
Generators	[47:58:1]	Generators of the group modulo torsion
j	3603027962363904/1463949725	j-invariant
L	3.2508480356148	L(r)(E,1)/r!
Ω	1.1805747237384	Real period
R	0.91787160107937	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	16240p1 64960k1 36540k1 20300j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4060b1

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	+	+	-2	6	8	-6	0	-	-10	8	2	-8	-4	10	4	-14	12	-4	-4	-14	-4	10	-16

---

Quadratic twists for elliptic curve 4060b1

-4	8	-3	5	-7	29
16240p1	64960k1	36540k1	20300j1	28420i1	117740a1

---

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