Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	18480cw	Isogeny class
Conductor	18480	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	5464166400 = 212 · 32 · 52 · 72 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-896,-9996]	[a1,a2,a3,a4,a6]
Generators	[-20:18:1]	Generators of the group modulo torsion
j	19443408769/1334025	j-invariant
L	6.0459794704103	L(r)(E,1)/r!
Ω	0.87630067580937	Real period
R	1.7248587263801	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	1155a2 73920fs2 55440eq2 92400dv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480cw2

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

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Quadratic twists for elliptic curve 18480cw2

-4	8	-3	5	-7
1155a2	73920fs2	55440eq2	92400dv2	129360fk2

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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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