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	18240bk	Isogeny class
Conductor	18240	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-283668480 = -1 · 212 · 36 · 5 · 19	Discriminant
Eigenvalues	2+ 3- 5-  2  0  2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,55,-777]	[a1,a2,a3,a4,a6]
Generators	[13:48:1]	Generators of the group modulo torsion
j	4410944/69255	j-invariant
L	7.0858806878711	L(r)(E,1)/r!
Ω	0.84724247311343	Real period
R	1.3939104236658	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	18240v1 9120c1 54720p1 91200g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bk1

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

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Quadratic twists for elliptic curve 18240bk1

-4	8	-3	5
18240v1	9120c1	54720p1	91200g1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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