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	14280bf	Isogeny class
Conductor	14280	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2640172308480 = 211 · 32 · 5 · 73 · 174	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-658656,205967916]	[a1,a2,a3,a4,a6]
Generators	[473:154:1]	Generators of the group modulo torsion
j	15430158112257556418/1289146635	j-invariant
L	4.3884490257751	L(r)(E,1)/r!
Ω	0.61893913666682	Real period
R	2.3634251823253	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	28560bg4 114240et4 42840bd4 71400bl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280bf4

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	6	+	0	-8	10	-8	-2	-10	4	-4	6	0	-14	-4	-4	-10	-12	4	-14	-2

---

Quadratic twists for elliptic curve 14280bf4

-4	8	-3	5	-7
28560bg4	114240et4	42840bd4	71400bl4	99960ds4

---

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