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	14280ca	Isogeny class
Conductor	14280	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	472122075600 = 24 · 35 · 52 · 75 · 172	Discriminant
Eigenvalues	2- 3- 5- 7+ -6  4 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1361395,-611852482]	[a1,a2,a3,a4,a6]
Generators	[1451:21675:1]	Generators of the group modulo torsion
j	17440402442527904475136/29507629725	j-invariant
L	5.8907834322513	L(r)(E,1)/r!
Ω	0.13976662889904	Real period
R	4.2147281355027	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	28560bd1 114240r1 42840n1 71400k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14280ca1

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
-	-	-	+	-6	4	-	4	-4	0	-2	-6	6	0	0	-8	-12	0	-16	6	-2	8	-8	-6	14

---

Quadratic twists for elliptic curve 14280ca1

-4	8	-3	5	-7
28560bd1	114240r1	42840n1	71400k1	99960cf1

---

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