Cremona's table of elliptic curves

4389 = 3 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 7- 11- 19+	Signs for the Atkin-Lehner involutions
Class	4389k	Isogeny class
Conductor	4389	Conductor
∏ cp	25	Product of Tamagawa factors cp
deg	5200	Modular degree for the optimal curve
Δ	853577109 = 35 · 75 · 11 · 19	Discriminant
Eigenvalues	-2 3-  1 7- 11-  4  8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1870,30478]	[a1,a2,a3,a4,a6]
j	723570336280576/853577109	j-invariant
L	1.5771901953224	L(r)(E,1)/r!
Ω	1.5771901953224	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	70224bf1 13167i1 109725i1 30723t1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4389k1

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	-	1	-	-	4	8	+	-6	0	7	8	-3	4	3	9	10	-13	-2	-13	-6	-5	14	0	3

---

Quadratic twists for elliptic curve 4389k1

-4	-3	5	-7	-11	-19
70224bf1	13167i1	109725i1	30723t1	48279r1	83391m1

---

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