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	18240bz	Isogeny class
Conductor	18240	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	24206376960 = 220 · 35 · 5 · 19	Discriminant
Eigenvalues	2- 3+ 5+ -4  0  6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-31518721,-68097944159]	[a1,a2,a3,a4,a6]
Generators	[-293526435723424031523:-994534095553804:90566636844120039]	Generators of the group modulo torsion
j	13209596798923694545921/92340	j-invariant
L	3.3171112619954	L(r)(E,1)/r!
Ω	0.063717306253083	Real period
R	26.029908176124	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18240bd4 4560bc3 54720fc4 91200ik4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18240bz3

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

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Quadratic twists for elliptic curve 18240bz3

-4	8	-3	5
18240bd4	4560bc3	54720fc4	91200ik4

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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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