Cremona's table of elliptic curves

14450 = 2 · 5² · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	14450bg	Isogeny class
Conductor	14450	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8960	Modular degree for the optimal curve
Δ	-19191406250 = -1 · 2 · 59 · 173	Discriminant
Eigenvalues	2-  1 5-  2  0  1 17+ -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,487,5267]	[a1,a2,a3,a4,a6]
Generators	[166:1167:8]	Generators of the group modulo torsion
j	1331/2	j-invariant
L	8.8572195857105	L(r)(E,1)/r!
Ω	0.82923157669831	Real period
R	2.6703094270049	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	115600cx1 14450k1 14450bi1	Quadratic twists by: -4 5 17

Hecke Eigenvalues for elliptic curve 14450bg1

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	-	2	0	1	+	-5	4	-9	-5	-2	-10	-6	7	-1	-5	5	2	-5	11	-16	-6	-5	-7

---

Quadratic twists for elliptic curve 14450bg1

-4	5	17
115600cx1	14450k1	14450bi1

---

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