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	18240bf	Isogeny class
Conductor	18240	Conductor
∏ cp	320	Product of Tamagawa factors cp
Δ	492500782656000000 = 212 · 310 · 56 · 194	Discriminant
Eigenvalues	2+ 3- 5+  0  0  6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-254761,36102935]	[a1,a2,a3,a4,a6]
Generators	[119:2736:1]	Generators of the group modulo torsion
j	446441237878458304/120239448890625	j-invariant
L	6.0848669447787	L(r)(E,1)/r!
Ω	0.27505048551157	Real period
R	1.1061363759205	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	18240a2 9120d1 54720ca2 91200s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bf2

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

---

Quadratic twists for elliptic curve 18240bf2

-4	8	-3	5
18240a2	9120d1	54720ca2	91200s2

---

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