Cremona's table of elliptic curves

18240 = 2⁶ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	18240bj	Isogeny class
Conductor	18240	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	38433226752000 = 218 · 32 · 53 · 194	Discriminant
Eigenvalues	2+ 3- 5+  4 -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-384481,-91889281]	[a1,a2,a3,a4,a6]
Generators	[12185:1343328:1]	Generators of the group modulo torsion
j	23977812996389881/146611125	j-invariant
L	6.2843861814675	L(r)(E,1)/r!
Ω	0.19172595033122	Real period
R	8.1944908482794	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	18240bt4 285c3 54720cl4 91200bl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bj3

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	-4	-2	2	-	-4	2	0	6	-6	-8	-12	14	-4	-14	4	0	-14	16	0	-6	-10

---

Quadratic twists for elliptic curve 18240bj3

-4	8	-3	5
18240bt4	285c3	54720cl4	91200bl4

---

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