Cremona's table of elliptic curves

14280 = 2³ · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	14280bp	Isogeny class
Conductor	14280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	8486268134400 = 210 · 34 · 52 · 72 · 174	Discriminant
Eigenvalues	2- 3+ 5- 7- -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-27000,-1692900]	[a1,a2,a3,a4,a6]
Generators	[-98:48:1]	Generators of the group modulo torsion
j	2125842732972004/8287371225	j-invariant
L	4.3069704022611	L(r)(E,1)/r!
Ω	0.37252816046655	Real period
R	2.8903656550871	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	28560bs4 114240dw3 42840s3 71400be3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bp3

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
-	+	-	-	-4	-2	-	4	8	-2	-8	6	-6	-12	8	-10	-12	-2	12	8	10	-8	-12	18	2

---

Quadratic twists for elliptic curve 14280bp3

-4	8	-3	5	-7
28560bs4	114240dw3	42840s3	71400be3	99960dh3

---

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