Cremona's table of elliptic curves

14160 = 2⁴ · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 59-	Signs for the Atkin-Lehner involutions
Class	14160d	Isogeny class
Conductor	14160	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	906240 = 210 · 3 · 5 · 59	Discriminant
Eigenvalues	2+ 3+ 5-  0  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-18880,-992240]	[a1,a2,a3,a4,a6]
Generators	[2285646:23327629:10648]	Generators of the group modulo torsion
j	726863277530884/885	j-invariant
L	4.8322118586182	L(r)(E,1)/r!
Ω	0.40728380400307	Real period
R	11.864483220604	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	7080f4 56640cn4 42480d4 70800l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14160d3

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	4	2	2	4	-4	-10	4	-6	-6	4	-4	-10	-	-10	-4	-8	14	-8	0	-10	-2

---

Quadratic twists for elliptic curve 14160d3

-4	8	-3	5
7080f4	56640cn4	42480d4	70800l4

---

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