Cremona's table of elliptic curves

14832 = 2⁴ · 3² · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 103+	Signs for the Atkin-Lehner involutions
Class	14832j	Isogeny class
Conductor	14832	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-29525409792 = -1 · 217 · 37 · 103	Discriminant
Eigenvalues	2- 3-  2  2  1 -4  4  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,141,8242]	[a1,a2,a3,a4,a6]
Generators	[41:288:1]	Generators of the group modulo torsion
j	103823/9888	j-invariant
L	6.0437227234353	L(r)(E,1)/r!
Ω	0.90244098060639	Real period
R	0.41856772723341	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	1854c1 59328bh1 4944j1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14832j1

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	2	1	-4	4	3	-5	-3	3	-11	-6	-6	0	-6	6	4	-8	2	-10	-10	0	-1	-17

---

Quadratic twists for elliptic curve 14832j1

-4	8	-3
1854c1	59328bh1	4944j1

---

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