Cremona's table of elliptic curves

2280 = 2³ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	2280f	Isogeny class
Conductor	2280	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	6720	Modular degree for the optimal curve
Δ	-290804515200000 = -1 · 210 · 314 · 55 · 19	Discriminant
Eigenvalues	2- 3+ 5-  2  0 -2  4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,13960,515100]	[a1,a2,a3,a4,a6]
j	293798043977756/283988784375	j-invariant
L	1.7977489636768	L(r)(E,1)/r!
Ω	0.35954979273536	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4560h1 18240z1 6840g1 11400j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280f1

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

---

Quadratic twists for elliptic curve 2280f1

-4	8	-3	5	-7	-19
4560h1	18240z1	6840g1	11400j1	111720bm1	43320q1

---

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