Cremona's table of elliptic curves

14440 = 2³ · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 5- 19-	Signs for the Atkin-Lehner involutions
Class	14440k	Isogeny class
Conductor	14440	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	462080 = 28 · 5 · 192	Discriminant
Eigenvalues	2-  2 5-  4  1  4  4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-25,45]	[a1,a2,a3,a4,a6]
j	19456/5	j-invariant
L	5.5446248130663	L(r)(E,1)/r!
Ω	2.7723124065332	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	28880l1 115520o1 129960bb1 72200l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14440k1

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	-	4	1	4	4	-	6	-5	1	2	6	6	0	-10	-3	5	-4	13	-6	-11	-14	7	6

---

Quadratic twists for elliptic curve 14440k1

-4	8	-3	5	-19
28880l1	115520o1	129960bb1	72200l1	14440d1

---

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